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Banach Spaces of Analytic Functions and Absolutely Summing Operators

Banach Spaces of Analytic Functions and Absolutely Summing Operators
Author: Aleksander Pełczyński
Publisher: American Mathematical Soc.
Total Pages: 98
Release: 1977-12-31
Genre: Mathematics
ISBN: 0821816802

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This book surveys results concerning bases and various approximation properties in the classical spaces of analytical functions. It contains extensive bibliographical comments.


Absolutely Summing Operators

Absolutely Summing Operators
Author: Joe Diestel
Publisher: Cambridge University Press
Total Pages: 494
Release: 1995-04-27
Genre: Mathematics
ISBN: 9780521431682

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This text provides the beginning graduate student with an account of p-summing and related operators.


Tensor Norms and Operator Ideals

Tensor Norms and Operator Ideals
Author: A. Defant
Publisher: Elsevier
Total Pages: 579
Release: 1992-11-26
Genre: Mathematics
ISBN: 0080872875

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The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.


Encyclopedic Dictionary of Mathematics

Encyclopedic Dictionary of Mathematics
Author: Nihon Sūgakkai
Publisher: MIT Press
Total Pages: 1180
Release: 1993
Genre: Mathematics
ISBN: 9780262590204

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V.1. A.N. v.2. O.Z. Apendices and indexes.


Real and Functional Analysis

Real and Functional Analysis
Author: Vladimir I. Bogachev
Publisher: Springer Nature
Total Pages: 586
Release: 2020-02-25
Genre: Mathematics
ISBN: 3030382192

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This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis. Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references. The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.