Banach Spaces Of Continuous Functions As Dual Spaces PDF Download
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| Author | : H. G. Dales |
| Publisher | : Springer |
| Total Pages | : 286 |
| Release | : 2016-12-13 |
| Genre | : Mathematics |
| ISBN | : 3319323490 |
Download Banach Spaces of Continuous Functions as Dual Spaces Book in PDF, ePub and Kindle
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 | : Zbigniew Semadeni |
| Publisher | : |
| Total Pages | : 594 |
| Release | : 1971 |
| Genre | : Banach spaces |
| ISBN | : |
Download Banach Spaces of Continuous Functions Book in PDF, ePub and Kindle
| Author | : Z. Semadeni |
| Publisher | : Springer |
| Total Pages | : 142 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540391436 |
Download Schauder Bases in Banach Spaces of Continuous Functions Book in PDF, ePub and Kindle
| Author | : Krzysztof Jarov |
| Publisher | : CRC Press |
| Total Pages | : 450 |
| Release | : 2020-08-27 |
| Genre | : Mathematics |
| ISBN | : 1000147932 |
Download Function Spaces Book in PDF, ePub and Kindle
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 | : Joram Lindenstrauss |
| Publisher | : Springer |
| Total Pages | : 254 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540377328 |
Download Classical Banach Spaces Book in PDF, ePub and Kindle
Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later a new series Ergebnisse der Mathematik und ihrer Grenzgebiete, survey reports of recent mathematical research, was added. Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject. Springer is reissuing a selected few of these highly successful books in a new, inexpensive sofcover edition to make them easily accessible to younger generations of students and researchers.
| Author | : Petr Hájek |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 514 |
| Release | : 2014-10-29 |
| Genre | : Mathematics |
| ISBN | : 3110258994 |
Download Smooth Analysis in Banach Spaces Book in PDF, ePub and Kindle
This 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 | : Pilar Cembranos |
| Publisher | : Springer |
| Total Pages | : 124 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540696393 |
Download Banach Spaces of Vector-Valued Functions Book in PDF, ePub and Kindle
"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.
| Author | : Richard J. Fleming |
| Publisher | : CRC Press |
| Total Pages | : 209 |
| Release | : 2002-12-23 |
| Genre | : Mathematics |
| ISBN | : 1420026151 |
Download Isometries on Banach Spaces Book in PDF, ePub and Kindle
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 | : Glenn F. Webb |
| Publisher | : |
| Total Pages | : 46 |
| Release | : 1971 |
| Genre | : Banach spaces |
| ISBN | : |
Download Dual Spaces of Spaces of Quasi-continuous Functions Book in PDF, ePub and Kindle
| Author | : Antonio Avilés |
| Publisher | : Springer |
| Total Pages | : 236 |
| Release | : 2016-03-26 |
| Genre | : Mathematics |
| ISBN | : 3319147412 |
Download Separably Injective Banach Spaces Book in PDF, ePub and Kindle
This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as l∞/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L∞ spaces and spaces of universal disposition). It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines of research.
