Introductory Theory of Topological Vector SPates
Introductory Theory of Topological Vector SPates

Author: Yau-Chuen Wong

Publisher: CRC Press

Published: 1992-08-25

Total Pages: 442

ISBN-13: 9780824787790

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This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

Matrices and Vector SPates
Matrices and Vector SPates

Author: William Brown

Publisher: CRC Press

Published: 2024-11-01

Total Pages: 329

ISBN-13: 1040285538

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A textbook for a one-semester course in linear algebra for graduate or upper-level undergraduate students of mathematics and engineering. Employs a matrix perspective, and emphasizes training in definitions, theorems, and proofs. Annotation copyright Book News, Inc. Portland, Or.

Holomorphy and Calculus in Normed SPates
Holomorphy and Calculus in Normed SPates

Author: S. B. Chae

Publisher: CRC Press

Published: 1985-04-29

Total Pages: 444

ISBN-13: 9780824772314

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This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.

Holomorphy and Calculus in Normed SPates
Holomorphy and Calculus in Normed SPates

Author: Soo Bong Chae

Publisher: CRC Press

Published: 2020-11-26

Total Pages: 442

ISBN-13: 1000146537

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This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.

Applications Of Orlicz Spaces
Applications Of Orlicz Spaces

Author: M.M. Rao

Publisher: CRC Press

Published: 2002-02-08

Total Pages: 496

ISBN-13: 9780203910863

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Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability.

Theory of Random Sets
Theory of Random Sets

Author: Ilya Molchanov

Publisher: Springer Science & Business Media

Published: 2005-05-11

Total Pages: 508

ISBN-13: 9781852338923

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This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine

Function Spaces
Function Spaces

Author: Krzysztof Jarov

Publisher: CRC Press

Published: 1991-12-23

Total Pages: 450

ISBN-13: 9780824786120

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This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.

Handbook of Measure Theory
Handbook of Measure Theory

Author: E. Pap

Publisher: Elsevier

Published: 2002-10-31

Total Pages: 1633

ISBN-13: 0080533094

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The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations 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 whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the variousareas they contain many special topics and challengingproblems valuable for experts and rich sources of inspiration.Mathematicians from other areas as well as physicists, computerscientists, engineers and econometrists will find useful results andpowerful methods for their research. The reader may find in theHandbook many close relations to other mathematical areas: realanalysis, probability theory, statistics, ergodic theory,functional analysis, potential theory, topology, set theory,geometry, differential equations, optimization, variationalanalysis, decision making and others. The Handbook is a richsource of relevant references to articles, books and lecturenotes and it contains for the reader's convenience an extensivesubject and author index.