Banach Spaces of Analytic Functions and Absolutely Summing Operators PDF Download
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Author: Aleksander Pełczyński
Publisher: American Mathematical Soc.
ISBN: 0821816802
Category : Mathematics
Languages : en
Pages : 98
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Book Description
This book surveys results concerning bases and various approximation properties in the classical spaces of analytical functions. It contains extensive bibliographical comments.
Author: Aleksander Pełczyński
Publisher: American Mathematical Soc.
ISBN: 0821816802
Category : Mathematics
Languages : en
Pages : 98
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Book Description
This book surveys results concerning bases and various approximation properties in the classical spaces of analytical functions. It contains extensive bibliographical comments.
Author: Kenneth Hoffman
Publisher: Courier Corporation
ISBN: 048614996X
Category : Mathematics
Languages : en
Pages : 227
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Book Description
A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.
Author: Joe Diestel
Publisher: Cambridge University Press
ISBN: 9780521431682
Category : Mathematics
Languages : en
Pages : 494
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Book Description
This text provides the beginning graduate student with an account of p-summing and related operators.
Author: V. P. Havin
Publisher: Springer
ISBN: 3540387587
Category : Mathematics
Languages : de
Pages : 738
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Book Description
Author: J. Baker
Publisher: Springer
ISBN: 3540372628
Category : Mathematics
Languages : en
Pages : 150
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Book Description
With contributions by numerous experts
Author: Thomas H. MacGregor
Publisher: American Mathematical Soc.
ISBN: 0821842684
Category : Mathematics
Languages : en
Pages : 162
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Book Description
This volume is focused on Banach spaces of functions analytic in the open unit disc, such as the classical Hardy and Bergman spaces, and weighted versions of these spaces. Other spaces under consideration here include the Bloch space, the families of Cauchy transforms and fractional Cauchy transforms, BMO, VMO, and the Fock space. Some of the work deals with questions about functions in several complex variables.
Author: Carl C. Cowen, Jr.
Publisher: CRC Press
ISBN: 9780849384929
Category : Mathematics
Languages : en
Pages : 404
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Book Description
The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
Author: P. Wojtaszczyk
Publisher: Cambridge University Press
ISBN: 9780521566759
Category : Mathematics
Languages : en
Pages : 400
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Book Description
This book is intended to be used with graduate courses in Banach space theory.
Author: Krzysztof Jarov
Publisher: CRC Press
ISBN: 1000104729
Category : Mathematics
Languages : en
Pages : 444
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Book Description
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.
Author: Albrecht Pietsch
Publisher: Springer Science & Business Media
ISBN: 0817645969
Category : Mathematics
Languages : en
Pages : 855
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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.
