Author: Gerard Buskes
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 60

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Book Description

Author: Stephen Simons
Publisher: Springer Science & Business Media
ISBN: 1402069189
Category : Mathematics
Languages : en
Pages : 251

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Book Description
This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.

Author: John Joseph Saccoman
Publisher:
ISBN:
Category :
Languages : en
Pages : 318

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Book Description

Author: K.-D. Bierstedt
Publisher: Elsevier
ISBN: 0080872018
Category : Mathematics
Languages : en
Pages : 397

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Book Description
This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics. Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis.

Author: Gokulananda Das
Publisher: CRC Press
ISBN: 1000467627
Category : Mathematics
Languages : en
Pages : 182

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Book Description
Banach Limits and Applications provides all the results in the area of Banach limit, its extensions, generalizations and applications to various fields in one go (as far as possible). All the results in this field, after Banach introduced this concept in the year 1932 , are scattered till now. Sublinear functionals generating and dominating Banach Limit, unique Branch Limit (almost convergence), invariant means and invariant limits, absolute and strong almost convergence, applications to ergodicity, law of large number, Fourier series, uniform distribution of sequences, uniform density, core theorems, functional Banach limits are discussed in this book. Discovery of functional analysis such as Hahn-Banach theorem, Banach-Steinhaus Theorem helped the researchers to develop a modern, rich and unified theory of sequence spaces by enveloping classical summability theory via matrix transformation and the topics related to sequence spaces arose from the concept of Banach limit are presented in this book. The unique features of this book are as follows: It contains all the results in this area at one place which are scattered till now. The book is first of its kinds in the sense that there is no other competitive book . The contents of this monograph did not appear in any book form before. The audience of this book are the researchers in this area, the Ph.D. and advanced Masters students. The book is suitable for one or two semester course work for Ph. D. students, M.S. Students of North America and Europe, M. Phil and Masters Students of India.

Author: K.-D. Bierstedt
Publisher: Elsevier
ISBN: 0080871496
Category : Mathematics
Languages : en
Pages : 355

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Book Description
Functional Analysis: Surveys and Recent Results II

Author:
Publisher: Elsevier
ISBN: 0080871380
Category : Mathematics
Languages : en
Pages : 303

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Book Description
Functional Analysis: Surveys and Recent Results

Author: Albrecht Pietsch
Publisher: Springer Science & Business Media
ISBN: 0817645969
Category : Mathematics
Languages : en
Pages : 877

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Book Description
Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.

Author: Peter D. Lax
Publisher: John Wiley & Sons
ISBN: 1118626745
Category : Mathematics
Languages : en
Pages : 451

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Book Description
Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. Includes an appendix on the Riesz representation theorem.

Author: Ivonne De los Rios
Publisher:
ISBN:
Category :
Languages : en
Pages : 150

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Book Description