Vector Measures Integration And Related Topics

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Vector Measures

Author : Joseph Diestel
Publisher : American Mathematical Soc.
ISBN 13 : 0821815156
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Vector Measures by : Joseph Diestel

Download or read book Vector Measures written by Joseph Diestel and published by American Mathematical Soc.. This book was released on 1977-06-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces. A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.

Vector Measures, Integration and Related Topics

Author :
Publisher :
ISBN 13 : 9783034602167
Total Pages : 398 pages
Book Rating : 4.6/5 (21 download)

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Book Synopsis Vector Measures, Integration and Related Topics by :

Download or read book Vector Measures, Integration and Related Topics written by and published by . This book was released on 2012-02-05 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vector Measures, Integration and Related Topics

Author : Guillermo Curbera
Publisher : Springer Science & Business Media
ISBN 13 : 3034602111
Total Pages : 382 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Vector Measures, Integration and Related Topics by : Guillermo Curbera

Download or read book Vector Measures, Integration and Related Topics written by Guillermo Curbera and published by Springer Science & Business Media. This book was released on 2010-02-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of articles on the theme "vector measures, integration and applications" together with some related topics. The articles consist of both survey style and original research papers, are written by experts in thearea and present a succinct account of recent and up-to-date knowledge. The topic is interdisciplinary by nature and involves areas such as measure and integration (scalar, vector and operator-valued), classical and harmonic analysis, operator theory, non-commutative integration, andfunctional analysis. The material is of interest to experts, young researchers and postgraduate students.

Vector and Operator Valued Measures and Applications

Author : Don H. Tucker
Publisher : Academic Press
ISBN 13 : 1483261026
Total Pages : 474 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Vector and Operator Valued Measures and Applications by : Don H. Tucker

Download or read book Vector and Operator Valued Measures and Applications written by Don H. Tucker and published by Academic Press. This book was released on 2014-05-10 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.

Vector Measures and Control Systems

Author :
Publisher : Elsevier
ISBN 13 : 9780080871318
Total Pages : 179 pages
Book Rating : 4.8/5 (713 download)

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Book Synopsis Vector Measures and Control Systems by :

Download or read book Vector Measures and Control Systems written by and published by Elsevier. This book was released on 2011-09-21 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector Measures and Control Systems

Integration Theory

Author : Klaus Bichteler
Publisher : Springer
ISBN 13 : 3540383697
Total Pages : 365 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Integration Theory by : Klaus Bichteler

Download or read book Integration Theory written by Klaus Bichteler and published by Springer. This book was released on 2006-11-15 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vector Measures

Author : N. Dinculeanu
Publisher : Elsevier
ISBN 13 : 1483222659
Total Pages : 446 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Vector Measures by : N. Dinculeanu

Download or read book Vector Measures written by N. Dinculeanu and published by Elsevier. This book was released on 2014-07-21 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Pure and Applied Mathematics, Volume 95: Vector Measures focuses on the study of measures with values in a Banach space, including positive measures with finite or infinite values. This book is organized into three chapters. Chapter I covers classes of sets, set functions, variation and semi-variation of set functions, and extension of set functions from a certain class to a wider one. The integration of vector functions with respect to vector measures is reviewed in Chapter II. In Chapter III, the regular measures on a locally compact space and integral representation of the dominated operations on the space of continuous functions with compact carrier are described. This volume is intended for specialists, researchers, and students interested in vector measures.

Analysis in Banach Spaces

Author : Tuomas Hytönen
Publisher : Springer
ISBN 13 : 3319485202
Total Pages : 614 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Analysis in Banach Spaces by : Tuomas Hytönen

Download or read book Analysis in Banach Spaces written by Tuomas Hytönen and published by Springer. This book was released on 2016-11-26 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

Random and Vector Measures

Author : Malempati Madhusudana Rao
Publisher : World Scientific
ISBN 13 : 9814350818
Total Pages : 553 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Random and Vector Measures by : Malempati Madhusudana Rao

Download or read book Random and Vector Measures written by Malempati Madhusudana Rao and published by World Scientific. This book was released on 2012 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. This book analyzes several stationary aspects and related processes.

Topics in Complex Analysis and Operator Theory

Author : Oscar Blasco
Publisher : American Mathematical Soc.
ISBN 13 : 0821852752
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topics in Complex Analysis and Operator Theory by : Oscar Blasco

Download or read book Topics in Complex Analysis and Operator Theory written by Oscar Blasco and published by American Mathematical Soc.. This book was released on 2012 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the lecture notes as well as some invited papers presented at the Third Winter School in Complex Analysis, Operator Theory and Applications held February 2-5, 2010, in Valencia, Spain. The book is divided into two parts. The first is an extended self-contained version of the mini-courses taught at the School. The papers in this first part are: Notes on real analytic functions and classical operators, by Pawel Domanski; Shining a Hilbertian lamp on the bidisk, by John E. McCarthy; Selected problems in perturbation theory, by Vladimir V. Peller; and Composition operators on Hardy-Orlicz spaces, by Luis Rodriguez-Piazza. The second part consists of several research papers on recent advances in the area and some survey articles of an expository character. The articles in this second part are: Remarks on weighted mixed norm spaces, by O. Blasco; Interpolation subspaces of $L^1$ of a vector measure and norm inequalities for the integration operator, by J.M. Calabuig, J. Rodriguez, and E.A. Sanchez-Perez; On the spectra of algebras of analytic functions, by D. Carando, D. Garcia, M. Maestre, and P. Sevilla-Peris; Holomorphic self-maps of the disk intertwining two linear fractional maps, by M.D. Contreras, S. Diaz-Madrigal, M.J. Martin, and D. Vukotic; ABC-type estimates via Garsia-type norms, by K.M. Dyakonov; and Volterra type operators on Bergman spaces with exponential weights, by J. Pau and J.A. Pelaez. The topics selected for the mini-courses cover several aspects of complex analysis and operator theory that play important roles in understanding connections between different areas that are considered in fashion these days. This part is aimed at graduate students and young researchers. The courses are self-contained, focusing on those aspects that are basic and that can lead the readers to a quick understanding of the theories presented in each topic. They start with the classical results and reach a selection of open problems in each case. The research and survey articles are aimed at young researchers in the area, as well as post-doc and senior researchers interested in complex analysis and operator theory. This book is published in cooperation with Real Sociedad Matematica Espanola.

Measure Theory and Integration

Author : M.M. Rao
Publisher : CRC Press
ISBN 13 : 1482258102
Total Pages : 790 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Measure Theory and Integration by : M.M. Rao

Download or read book Measure Theory and Integration written by M.M. Rao and published by CRC Press. This book was released on 2018-10-03 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications. With more than 170 references for further investigation of the subject, this Second Edition provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals contains extended discussions on the four basic results of Banach spaces presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.

The Extended Stochastic Integral in Linear Spaces with Differentiable Measures and Related Topics

Author : Nicolai Victorovich Norin
Publisher : World Scientific
ISBN 13 : 9789810225681
Total Pages : 280 pages
Book Rating : 4.2/5 (256 download)

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Book Synopsis The Extended Stochastic Integral in Linear Spaces with Differentiable Measures and Related Topics by : Nicolai Victorovich Norin

Download or read book The Extended Stochastic Integral in Linear Spaces with Differentiable Measures and Related Topics written by Nicolai Victorovich Norin and published by World Scientific. This book was released on 1996 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the extended stochastic integral (ESI) (or Skorokhod-Hitsuda Integral) and its relation to the logarithmic derivative of differentiable measure along the vector or operator field. In addition, the theory of surface measures and the theory of heat potentials in infinite-dimensional spaces are discussed. These theories are closely related to ESI.It starts with an account of classic stochastic analysis in the Wiener spaces; and then discusses in detail the ESI for the Wiener measure including properties of this integral understood as a process. Moreover, the ESI with a nonrandom kernel is investigated.Some chapters are devoted to the definition and the investigation of properties of the ESI for Gaussian and differentiable measures.Surface measures in Banach spaces and heat potentials theory in Hilbert space are also discussed.

Progress in Approximation Theory and Applicable Complex Analysis

Author : Narendra Kumar Govil
Publisher : Springer
ISBN 13 : 331949242X
Total Pages : 519 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Progress in Approximation Theory and Applicable Complex Analysis by : Narendra Kumar Govil

Download or read book Progress in Approximation Theory and Applicable Complex Analysis written by Narendra Kumar Govil and published by Springer. This book was released on 2017-04-03 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems.

Mathematical Analysis I: Approximation Theory

Author : Naokant Deo
Publisher : Springer Nature
ISBN 13 : 9811511535
Total Pages : 262 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mathematical Analysis I: Approximation Theory by : Naokant Deo

Download or read book Mathematical Analysis I: Approximation Theory written by Naokant Deo and published by Springer Nature. This book was released on 2020-02-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23–25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of analysis. It also shows the use of analytical techniques to solve problems and, wherever possible, derive their numerical solutions. This volume addresses major topics, such as operator theory, approximation theory, fixed-point theory, holomorphic functions, summability theory, and analytic functions. It is a valuable resource for students as well as researchers in mathematical sciences.

Singular Bilinear Integrals

Author : Jefferies Brian Raymond Frederick
Publisher : World Scientific
ISBN 13 : 9813207590
Total Pages : 252 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Singular Bilinear Integrals by : Jefferies Brian Raymond Frederick

Download or read book Singular Bilinear Integrals written by Jefferies Brian Raymond Frederick and published by World Scientific. This book was released on 2017-01-18 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for bilinear integration in cases where the classical approach does not apply.

Vector Measures

Author : Joseph Diestel
Publisher : American Mathematical Soc.
ISBN 13 : 0821873741
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Vector Measures by : Joseph Diestel

Download or read book Vector Measures written by Joseph Diestel and published by American Mathematical Soc.. This book was released on 1977 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Measure Theory

Author : E. Pap
Publisher : Elsevier
ISBN 13 : 9780080533094
Total Pages : 1632 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Handbook of Measure Theory by : E. Pap

Download or read book Handbook of Measure Theory written by E. Pap and published by Elsevier. This book was released on 2002-10-31 with total page 1632 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this Handbook is to survey measure theory with its many different branches and its relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which support the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various areas they contain many special topics and challenging problems valuable for experts and rich sources of inspiration. Mathematicians from other areas as well as physicists, computer scientists, engineers and econometrists will find useful results and powerful methods for their research. The reader may find in the Handbook many close relations to other mathematical areas: real analysis, probability theory, statistics, ergodic theory, functional analysis, potential theory, topology, set theory, geometry, differential equations, optimization, variational analysis, decision making and others. The Handbook is a rich source of relevant references to articles, books and lecture notes and it contains for the reader's convenience an extensive subject and author index.