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Books in Functional analysis

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31-40 of 62 results in All results

Banach Spaces

  • 1st Edition
  • Volume 1
  • April 30, 2001
  • Corneliu Constantinescu
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 2 8 3 7 - 3

Topological Algebras

  • 1st Edition
  • Volume 185
  • November 23, 2000
  • V.K. Balachandran
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 4 3 0 8 - 6
This book consists of nine chapters. Chapter 1 is devoted to algebraic preliminaries. Chapter 2 deals with some of the basic definition and results concerning topological groups, topological linear spaces and topological algebras. Chapter 3 considered some generalizations of the norm. Chapter 4 is concerned with a generalization of the notion of convexity called p-convexity. In Chapter 5 some differential and integral analysis involving vector valued functions is developed. Chapter 6 is concerned with spectral analysis and applications. The Gelfand representation theory is the subject-matter of Chapter 7. Chapter 8 deals with commutative topological algebras. Finally in Chapter 9 an exposition of the norm uniqueness theorems of Gelfand and Johnson (extended to p-Banach algebras) is given.

New Generalized Functions and Multiplication of Distributions

  • 1st Edition
  • Volume 84
  • April 1, 2000
  • J.F. Colombeau
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 1 9 5 - 0
This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.

Summability Through Functional Analysis

  • 1st Edition
  • Volume 85
  • April 1, 2000
  • A. Wilansky
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 1 9 6 - 7
Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.

Functional Analysis: Surveys and Recent Results III

  • 1st Edition
  • Volume 90
  • April 1, 2000
  • K.-D. Bierstedt + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 0 1 - 8
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.

Introduction to Hilbert Spaces with Applications

  • 3rd Edition
  • February 14, 2000
  • Lokenath Debnath + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 2 0 8 4 3 8 - 6
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 5 5 9 2 - 1
Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory.

Big-Planes, Boundaries and Function Algebras

  • 1st Edition
  • Volume 172
  • March 2, 1992
  • T.V. Tonev
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 8 3 - 4
Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n-tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n-tuple polynomial and rational hulls. Applications to the problem of existence of n-dimensional complex analytic structures, analytic &Ggr;-almost-periodic structures and structures of &Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.

Progress in Functional Analysis

  • 1st Edition
  • Volume 170
  • January 10, 1992
  • K.D. Bierstedt + 3 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 8 1 - 0
This volume includes a collection of research articles inFunctional Analysis, celebrating the occasion of Manuel Valdivia'ssixtieth birthday. The papers included in the volume are basedon the main lectures presented during the internationalfunctional analysis meeting held in Peñíscola(Valencia, Spain) in October 1990.During his career, Valdiviahas made contributions to a wide variety of areas of FunctionalAnalysis and his work has had a profound impact. A thoroughappreciation of Valdivia's work is presented in J.Horváth's article. In honor of Valdivia's achievements, this volume presents more than twenty-five papers on topics related to his research(Banach spaces, operator ideals, tensor products, Fréchet,(DF) and (LF) spaces, distribution theory, infinite holomorphyetc.). While the majority of papers are research articles, survey articles are also included. The book covers a broad spectrum of interests in today's Functional Analysis and presents new results by leading specialists in the field.