Isometries on Banach Spaces: Function spaces. Continuous function spaces, the Banach-Stone theorem ; The Lp spaces ; Isometries of spaces of analytic functions ; Rearrangement invariant spaces ; Banach algebras PDF Download
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Author: Richard J. Fleming
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 0
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Book Description
Author: Richard J. Fleming
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 0
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Book Description
Author: Richard J. Fleming
Publisher: CRC Press
ISBN: 1420026151
Category : Mathematics
Languages : en
Pages : 209
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Book Description
Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric
Author: Richard J. Fleming
Publisher: CRC Press
ISBN: 1420010204
Category : Mathematics
Languages : en
Pages : 245
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Book Description
A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.
Author: H.E. Lacey
Publisher: Springer Science & Business Media
ISBN: 3642657621
Category : Mathematics
Languages : en
Pages : 281
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Book Description
The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00. If 1
Author: Gilles Godefroy
Publisher: American Mathematical Society
ISBN: 1470475707
Category : Mathematics
Languages : en
Pages : 358
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Book Description
This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography. This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.
Author: Richard J. Fleming
Publisher:
ISBN: 9780582309203
Category :
Languages : en
Pages : 328
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Book Description
The interest of these authors lies in explicit, canonical-form characterizations of isometries on Banach spaces, and in this monograph, they explore the topic in the context of classical function spaces. Designed for both experts and beginners in the field, their treatment presents a history of the subject, the important results, and a look at some of the wide variety of methods used in addressing the characterization problem in various types of spaces. The authors faithfully report the results of other researchers' original papers and offer some enlightening clarifications. Each chapter is self-contained and includes notes and remarks that touch upon related results and other approaches not addressed in the main text. Focuses on isometries on function spaces Presents the material according to the different classes of Banach spaces Offers self-contained chapters that allow readers to go immediately to any particular point of interest Includes an extensive bibliography
Author: Kenneth Hoffman
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 248
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Book Description
Author: H. G. Dales
Publisher: Springer
ISBN: 3319323490
Category : Mathematics
Languages : en
Pages : 286
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Book Description
This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.
Author: Richard J. Fleming
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 0
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Book Description
Author: J. Lindenstrauss
Publisher: Springer Science & Business Media
ISBN: 3662353474
Category : Mathematics
Languages : en
Pages : 253
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Book Description
