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Author : V. M. Bogdan
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.F/5 ( download)
Download or read book Topological Rings of Sets and the Theory of Vector Measures written by V. M. Bogdan and published by . This book was released on 1978 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Howard Graves
Publisher : American Mathematical Soc.
ISBN 13 : 0821821954
Total Pages : 72 pages
Book Rating : 4.8/5 (218 download)
Download or read book On the Theory of Vector Measures written by William Howard Graves and published by American Mathematical Soc.. This book was released on 1977 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a ring of subsets of a non-empty set, there is a universal measure on the ring with values in an associated complete locally convex space which carries, through its typology, much of the combinatorial and measure theoretic structure of the ring. Moreover, vector measures of the ring are in 1-1 correspondence with continuous linear maps on the associated space. Several aspects of the theory of vector measures including decomposition theorems, extension theorems, Bartle-Dunford-Schwartz type theorems on weak compactness, and Pettis and Orlicz-Pettis-type theorems are studied in the unifying context of the universal measure and the associated universal representation theorem. A brief account of a similar theory for measures on abstract Boolean algebras is also given.
Author : E. Pap
Publisher : Elsevier
ISBN 13 : 9780080533094
Total Pages : 1632 pages
Book Rating : 4.5/5 (33 download)
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.
Author : K.P.S. Bhaskara Rao
Publisher : Academic Press
ISBN 13 : 0080874282
Total Pages : 315 pages
Book Rating : 4.0/5 (88 download)
Download or read book Theory of Charges written by K.P.S. Bhaskara Rao and published by Academic Press. This book was released on 1983-05-10 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Charges
Author : Antonio Boccuto
Publisher : Bentham Science Publishers
ISBN 13 : 1681080095
Total Pages : 548 pages
Book Rating : 4.6/5 (81 download)
Download or read book Convergence Theorems for Lattice Group-Valued Measures written by Antonio Boccuto and published by Bentham Science Publishers. This book was released on 2015-04-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The book begins with a historical survey about these topics since the beginning of the last century, moving on to basic notions and preliminaries on filters/ideals, lattice groups, measures and tools which are featured in the rest of this text. Readers will also find a survey on recent classical results about limit, boundedness and extension theorems for lattice group-valued measures followed by information about recent developments on these kinds of theorems and several results in the setting of filter/ideal convergence. In addition, each chapter has a general description of the topics and an appendix on random variables, concepts and lattices is also provided. Thus readers will benefit from this book through an easy-to-read historical survey about all the problems on convergence and boundedness theorems, and the techniques and tools which are used to prove the main results. The book serves as a primer for undergraduate, postgraduate and Ph. D. students on mathematical lattice and topological groups and filters, and a treatise for expert researchers who aim to extend their knowledge base.
Author : D. Kölzow
Publisher : Springer
ISBN 13 : 3540390693
Total Pages : 342 pages
Book Rating : 4.5/5 (43 download)
Download or read book Measure Theory Oberwolfach 1983 written by D. Kölzow and published by Springer. This book was released on 2006-11-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William H. Graves
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.F/5 ( download)
Download or read book A Topological Linearization of Vector Measures written by William H. Graves and published by . This book was released on 1976 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Kharazishvili
Publisher : Springer Science & Business Media
ISBN 13 : 9491216368
Total Pages : 466 pages
Book Rating : 4.4/5 (912 download)
Download or read book TOPICS IN MEASURE THEORY AND REAL ANALYSIS written by Alexander Kharazishvili and published by Springer Science & Business Media. This book was released on 2009-11-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights various topics on measure theory and vividly demonstrates that the different questions of this theory are closely connected with the central measure extension problem. Several important aspects of the measure extension problem are considered separately: set-theoretical, topological and algebraic. Also, various combinations (e.g., algebraic-topological) of these aspects are discussed by stressing their specific features. Several new methods are presented for solving the above mentioned problem in concrete situations. In particular, the following new results are obtained: the measure extension problem is completely solved for invariant or quasi-invariant measures on solvable uncountable groups; non-separable extensions of invariant measures are constructed by using their ergodic components; absolutely non-measurable additive functionals are constructed for certain classes of measures; the structure of algebraic sums of measure zero sets is investigated. The material presented in this book is essentially self-contained and is oriented towards a wide audience of mathematicians (including postgraduate students). New results and facts given in the book are based on (or closely connected with) traditional topics of set theory, measure theory and general topology such as: infinite combinatorics, Martin's Axiom and the Continuum Hypothesis, Luzin and Sierpinski sets, universal measure zero sets, theorems on the existence of measurable selectors, regularity properties of Borel measures on metric spaces, and so on. Essential information on these topics is also included in the text (primarily, in the form of Appendixes or Exercises), which enables potential readers to understand the proofs and follow the constructions in full details. This not only allows the book to be used as a monograph but also as a course of lectures for students whose interests lie in set theory, real analysis, measure theory and general topology.
Author : Don H. Tucker
Publisher : Academic Press
ISBN 13 : 1483261026
Total Pages : 474 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 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.
Author : Gilles Godefroy
Publisher : American Mathematical Society
ISBN 13 : 1470475707
Total Pages : 358 pages
Book Rating : 4.4/5 (74 download)
Download or read book Geometry of Banach Spaces and Related Fields written by Gilles Godefroy and published by American Mathematical Society. This book was released on 2024-03-27 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography. This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.
Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
ISBN 13 :
Total Pages : 1076 pages
Book Rating : 4.F/5 ( download)
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1974 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. Dinculeanu
Publisher : Elsevier
ISBN 13 : 1483222659
Total Pages : 446 pages
Book Rating : 4.4/5 (832 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 644 pages
Book Rating : 4.:/5 (318 download)
Download or read book Rozprawy Matematyczne written by and published by . This book was released on 1994 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.3/5 (91 download)
Download or read book Dissertationes Mathematicae written by and published by . This book was released on 1994 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald L. Cohn
Publisher : Springer Science & Business Media
ISBN 13 : 1489903992
Total Pages : 379 pages
Book Rating : 4.4/5 (899 download)
Download or read book Measure Theory written by Donald L. Cohn and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. Measure Theory provides a solid background for study in both harmonic analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites for this book are courses in topology and analysis.
Author :
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (318 download)
Download or read book Tokyo Journal of Mathematics written by and published by . This book was released on 1981-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.M. Rao
Publisher : CRC Press
ISBN 13 : 1482258102
Total Pages : 790 pages
Book Rating : 4.4/5 (822 download)
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.
