Read and Download eBook Full
Author: William B. Johnson
Publisher: American Mathematical Soc.
Published: 1979
Total Pages: 306
ISBN-13: 0821822179
DOWNLOAD EBOOKIn this paper detailed investigations of spaces with a symmetric basis of finite length and rearrangement invariant function spaces are presented. The emphasis is on questions arising naturally from the theory of [italic]L[italic subscript]p-spaces.
Author: W. T. Gowers
Publisher:
Published: 1989
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Cho-Ho Chu
Publisher: World Scientific Publishing Company
Published: 2020
Total Pages: 404
ISBN-13: 9789811214103
DOWNLOAD EBOOK"The latest book which discusses recent advances in geometric analysis on bound symmetric domains of both finite and infinite dimensions. A unique feature is the use of Jordan theory in tandem with Lie theory to treat geometric and analytic topics such as rank and boundary structures, dynamics, Siegel domains and symmetric cones, classification, as well as function theory It contains a chapter on Jordan and Lie structures in Banach spaces, which are used to present a self-contained proof of a Riemann mapping theorem asserting that every bounded symmetric domain can be realized as the open unit ball of a complex Banach space with a Jordan structure"--
Author: ibrahim hossney" "ibrahim
Publisher:
Published: 2001
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher: Elsevier
Published: 2003-05-06
Total Pages: 873
ISBN-13: 0080533507
DOWNLOAD EBOOKHandbook of the Geometry of Banach Spaces
Author: Petr Hájek
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2014-10-29
Total Pages: 589
ISBN-13: 3110391996
DOWNLOAD EBOOKThis book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available? The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book.
Author: José M. Isidro
Publisher: American Mathematical Soc.
Published: 2019-12-09
Total Pages: 560
ISBN-13: 1470450836
DOWNLOAD EBOOKThis book is a systematic account of the impressive developments in the theory of symmetric manifolds achieved over the past 50 years. It contains detailed and friendly, but rigorous, proofs of the key results in the theory. Milestones are the study of the group of holomomorphic automorphisms of bounded domains in a complex Banach space (Vigué and Upmeier in the late 1970s), Kaup's theorem on the equivalence of the categories of symmetric Banach manifolds and that of hermitian Jordan triple systems, and the culminating point in the process: the Riemann mapping theorem for complex Banach spaces (Kaup, 1982). This led to the introduction of wide classes of Banach spaces known as JB∗-triples and JBW∗-triples whose geometry has been thoroughly studied by several outstanding mathematicians in the late 1980s. The book presents a good example of fruitful interaction between different branches of mathematics, making it attractive for mathematicians interested in various fields such as algebra, differential geometry and, of course, complex and functional analysis.
Author: Sylvia Guerre-Delabriere
Publisher: CRC Press
Published: 1992-07-21
Total Pages: 234
ISBN-13: 9780824787233
DOWNLOAD EBOOKAuthor: Pei-Kee Lin
Publisher: Springer Science & Business Media
Published: 2011-06-27
Total Pages: 384
ISBN-13: 0817681884
DOWNLOAD EBOOKThis monograph is devoted to the study of Köthe–Bochner function spaces, an active area of research at the intersection of Banach space theory, harmonic analysis, probability, and operator theory. A number of significant results---many scattered throughout the literature---are distilled and presented here, giving readers a comprehensive view of the subject from its origins in functional analysis to its connections to other disciplines. Considerable background material is provided, and the theory of Köthe–Bochner spaces is rigorously developed, with a particular focus on open problems. Extensive historical information, references, and questions for further study are included; instructive examples and many exercises are incorporated throughout. Both expansive and precise, this book’s unique approach and systematic organization will appeal to advanced graduate students and researchers in functional analysis, probability, operator theory, and related fields.
Author: Richard J. Fleming
Publisher: CRC Press
Published: 2002-12-23
Total Pages: 209
ISBN-13: 1420026151
DOWNLOAD EBOOKFundamental 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
