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| Author | : Aleksander Pełczyński |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 98 |
| Release | : 1977-12-31 |
| Genre | : Mathematics |
| ISBN | : 0821816802 |
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 | : |
| Total Pages | : 91 |
| Release | : 1977 |
| Genre | : |
| ISBN | : |
| Author | : Joe Diestel |
| Publisher | : Cambridge University Press |
| Total Pages | : 494 |
| Release | : 1995-04-27 |
| Genre | : Mathematics |
| ISBN | : 9780521431682 |
This text provides the beginning graduate student with an account of p-summing and related operators.
| Author | : Albrecht Pietsch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 877 |
| Release | : 2007-12-31 |
| Genre | : Mathematics |
| ISBN | : 0817645969 |
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 | : Kenneth Hoffman |
| Publisher | : |
| Total Pages | : 248 |
| Release | : 1962 |
| Genre | : Banach spaces |
| ISBN | : |
| Author | : Thomas H. MacGregor |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 162 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 0821842684 |
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 | : V. P. Havin |
| Publisher | : Springer |
| Total Pages | : 738 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540387587 |
| Author | : P. Wojtaszczyk |
| Publisher | : Cambridge University Press |
| Total Pages | : 400 |
| Release | : 1996-08 |
| Genre | : Mathematics |
| ISBN | : 9780521566759 |
This book is intended to be used with graduate courses in Banach space theory.
| Author | : G. J. O. Jameson |
| Publisher | : CUP Archive |
| Total Pages | : 196 |
| Release | : 1987 |
| Genre | : Mathematics |
| ISBN | : 9780521349376 |
This textbook is an introduction to the techniques of summing and nuclear norms. The author's aim is to present a clear and simple account of these ideas and to demonstrate the power of their application to a variety of Banach space questions. The style is expository and the only prerequisite is a beginner's course on Wormed linear spaces and a minimal knowledge of functional analysis. Thus, Dr Jameson is able to concentrate on important, central results and gives concrete and largely non-technical proofs, often supplying alternative proofs which both contribute something to the understanding. Final-year undergraduates and postgraduates in functional analysis will enjoy this introduction to the subject, and there are many examples and exercises throughout the text to help the reader and to demonstrate the range of application these techniques find. A list of references indicates the way for further reading.
| Author | : Tuomas Hytönen |
| Publisher | : Springer |
| Total Pages | : 630 |
| Release | : 2018-02-14 |
| Genre | : Mathematics |
| ISBN | : 3319698087 |
This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
