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Author : Jacob Burbea
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (49 download)
Download or read book Banach and Hilbert Spaces of Vector-valued Functions written by Jacob Burbea and published by . This book was released on 1984 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacob Burbea
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (11 download)
Download or read book Banach and Hilbert Spaces of Vector Valued Functions written by Jacob Burbea and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pilar Cembranos
Publisher : Springer
ISBN 13 : 3540696393
Total Pages : 124 pages
Book Rating : 4.5/5 (46 download)
Download or read book Banach Spaces of Vector-Valued Functions written by Pilar Cembranos and published by Springer. This book was released on 2006-11-14 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: "When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.
Author : Don H. Tucker
Publisher : Academic Press
ISBN 13 : 1483261026
Total Pages : 475 pages
Book Rating : 4.4/5 (832 download)
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 475 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.
Author : Richard J. Fleming
Publisher : CRC Press
ISBN 13 : 1420010204
Total Pages : 245 pages
Book Rating : 4.4/5 (2 download)
Download or read book Isometries in Banach Spaces written by Richard J. Fleming and published by CRC Press. This book was released on 2007-11-15 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.
Author : Pilar Cembranos
Publisher :
ISBN 13 : 9783662213933
Total Pages : 128 pages
Book Rating : 4.2/5 (139 download)
Download or read book Banach Spaces of Vector-Valued Functions written by Pilar Cembranos and published by . This book was released on 2014-01-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tuomas Hytönen
Publisher : Springer
ISBN 13 : 3319485202
Total Pages : 628 pages
Book Rating : 4.3/5 (194 download)
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 628 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.
Author : Eljas Määttä
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (28 download)
Download or read book On Linear Connections Induced by Projection-valued Functions on Vector Bundles Over Banach and Hilbert Manifolds written by Eljas Määttä and published by . This book was released on 1987 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 0080871364
Total Pages : 235 pages
Book Rating : 4.0/5 (88 download)
Download or read book Approximation of Vector Valued Functions written by and published by Elsevier. This book was released on 2011-10-10 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.
Author : Chuang-Gan Hu
Publisher : Springer
ISBN 13 : 9780792316053
Total Pages : 176 pages
Book Rating : 4.3/5 (16 download)
Download or read book Vector-Valued Functions and their Applications written by Chuang-Gan Hu and published by Springer. This book was released on 1992-03-31 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern physics, the spectral theory of operators, approximation of analytic operators, analytic mappings between vectors, and vector-valued functions of several variables. The book contains three chapters devoted to the theory of normal functions, Hp-space, and vector-valued functions and their applications. Among the topics dealt with are the properties of complex functions in a complex plane and infinite-dimensional spaces, and the solution of vector-valued integral equations and boundary value problems by complex analysis and functional analysis, which involve methods which can be applied to problems in operations research and control theory. Much original research is included. This volume will be of interest to those whose work involves complex analysis and control theory, and can be recommended as a graduate text in these areas.
Author : Tsoy-Wo Ma
Publisher : World Scientific
ISBN 13 : 9789812380388
Total Pages : 606 pages
Book Rating : 4.3/5 (83 download)
Download or read book Banach-Hilbert Spaces, Vector Measures and Group Representations written by Tsoy-Wo Ma and published by World Scientific. This book was released on 2002-01-01 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into existing courses. The relation between group representations and almost periodic functions is presented. The mean values offer an infinite-dimensional analogue of measure theory on finite-dimensional Euclidean spaces. This book is ideal for beginners who want to get through the basic material as soon as possible and then do their own research immediately.
Author : Tsoy-wo Ma
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105984
Total Pages : 622 pages
Book Rating : 4.8/5 (131 download)
Download or read book Banach-hilbert Spaces, Vector Measures And Group Representations written by Tsoy-wo Ma and published by World Scientific Publishing Company. This book was released on 2002-06-13 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into existing courses. The relation between group representations and almost periodic functions is presented. The mean values offer an infinitedimensional analogue of measure theory on finitedimensional Euclidean spaces. This book is ideal for beginners who want to get through the basic material as soon as possible and then do their own research immediately.
Author : Stuart Edward Mills
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.:/5 (132 download)
Download or read book Banach Function Spaces of Vector-valued Functions written by Stuart Edward Mills and published by . This book was released on 1970 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joram Lindenstrauss
Publisher : Princeton University Press
ISBN 13 : 1400842697
Total Pages : 436 pages
Book Rating : 4.4/5 (8 download)
Download or read book Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces written by Joram Lindenstrauss and published by Princeton University Press. This book was released on 2012-02-26 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions. The topic is relevant to classical analysis and descriptive set theory on Banach spaces. The book opens several new research directions in this area of geometric nonlinear functional analysis. The new methods developed here include a game approach to perturbational variational principles that is of independent interest. Detailed explanation of the underlying ideas and motivation behind the proofs of the new results on Fréchet differentiability of vector-valued functions should make these arguments accessible to a wider audience. The most important special case of the differentiability results, that Lipschitz mappings from a Hilbert space into the plane have points of Fréchet differentiability, is given its own chapter with a proof that is independent of much of the work done to prove more general results. The book raises several open questions concerning its two main topics.
Author : Celso Melchiades Doria
Publisher : Springer Nature
ISBN 13 : 3030778347
Total Pages : 362 pages
Book Rating : 4.0/5 (37 download)
Download or read book Differentiability in Banach Spaces, Differential Forms and Applications written by Celso Melchiades Doria and published by Springer Nature. This book was released on 2021-07-19 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm operators, this aiming to define the derivative of Fréchet and to give examples in Variational Calculus and to extend the results to Fredholm maps. The Inverse Function Theorem is explained in full details to help the reader to understand the proof details and its motivations. The inverse function theorem and applications make up this first part. The text contains an elementary approach to Vector Fields and Flows, including the Frobenius Theorem. The Differential Forms are introduced and applied to obtain the Stokes Theorem and to define De Rham cohomology groups. As an application, the final chapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.
Author : Tuomas Hytönen
Publisher : Springer Nature
ISBN 13 : 3031465989
Total Pages : 839 pages
Book Rating : 4.0/5 (314 download)
Download or read book Analysis in Banach Spaces written by Tuomas Hytönen and published by Springer Nature. This book was released on 2024-01-08 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
Author : Steven John Barclay
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (233 download)
Download or read book Banach Spaces of Analytic Vector-valued Functions written by Steven John Barclay and published by . This book was released on 2007 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
