Banach Spaces Of Continuous Functions As Dual Spaces

Author : H. G. Dales,F.K. Dashiell, Jr.,A.T.-M. Lau,D. Strauss
Publisher : Springer
Page : 277 pages
File Size : 47,5 Mb
Release : 2016-12-13
Category : Mathematics
ISBN : 9783319323497

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Banach Spaces of Continuous Functions as Dual Spaces by H. G. Dales,F.K. Dashiell, Jr.,A.T.-M. Lau,D. Strauss Pdf

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 : Unknown
Page : 594 pages
File Size : 54,9 Mb
Release : 1971
Category : Banach spaces
ISBN : UOM:39015049297099

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Banach Spaces of Continuous Functions by Zbigniew Semadeni Pdf

Author : G.L.M. Groenewegen,A.C.M. van Rooij
Publisher : Springer
Page : 173 pages
File Size : 48,7 Mb
Release : 2016-06-17
Category : Mathematics
ISBN : 9789462392014

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Spaces of Continuous Functions by G.L.M. Groenewegen,A.C.M. van Rooij Pdf

The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given.Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.

Author : Z. Semadeni
Publisher : Springer
Page : 142 pages
File Size : 55,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540391432

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Schauder Bases in Banach Spaces of Continuous Functions by Z. Semadeni Pdf

Author : Krzysztof Jarov
Publisher : CRC Press
Page : 450 pages
File Size : 42,6 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781000147933

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Function Spaces by Krzysztof Jarov Pdf

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 : Peter Harmand,Dirk Werner,Wend Werner
Publisher : Springer
Page : 390 pages
File Size : 43,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540477532

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M-Ideals in Banach Spaces and Banach Algebras by Peter Harmand,Dirk Werner,Wend Werner Pdf

This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.

Author : G. Gierz
Publisher : Springer
Page : 301 pages
File Size : 51,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540394372

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Bundles of Topological Vector Spaces and Their Duality by G. Gierz Pdf

Author : Joram Lindenstrauss,Lior Tzafriri
Publisher : Springer
Page : 254 pages
File Size : 49,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540377320

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Classical Banach Spaces by Joram Lindenstrauss,Lior Tzafriri Pdf

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 : Zbigniew Semadeni
Publisher : Springer Verlag
Page : 135 pages
File Size : 44,9 Mb
Release : 1982
Category : Mathematics
ISBN : 0387114815

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Schauder Bases in Banach Spaces of Continuous Functions by Zbigniew Semadeni Pdf

Author : Antonio Avilés,Félix Cabello Sánchez,Jesús M.F. Castillo,Manuel González,Yolanda Moreno
Publisher : Springer
Page : 236 pages
File Size : 53,5 Mb
Release : 2016-03-26
Category : Mathematics
ISBN : 9783319147413

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Separably Injective Banach Spaces by Antonio Avilés,Félix Cabello Sánchez,Jesús M.F. Castillo,Manuel González,Yolanda Moreno Pdf

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.

Author : Pilar Cembranos,Jose Mendoza
Publisher : Springer
Page : 124 pages
File Size : 48,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540696391

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Banach Spaces of Vector-Valued Functions by Pilar Cembranos,Jose Mendoza Pdf

"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 : S. Banach
Publisher : Elsevier
Page : 249 pages
File Size : 49,5 Mb
Release : 1987-03-01
Category : Computers
ISBN : 9780080887203

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Theory of Linear Operations by S. Banach Pdf

This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra. The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable functions, Hilbert space, etc. The general theorems are interpreted in various mathematical areas, such as group theory, differential equations, integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods and orthogonal series. A new fifty-page section (``Some Aspects of the Present Theory of Banach Spaces'') complements this important monograph.

Author : J. Diestel
Publisher : Springer
Page : 298 pages
File Size : 40,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540379133

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Geometry of Banach Spaces - Selected Topics by J. Diestel Pdf

Author : Richard J. Fleming,James E. Jamison
Publisher : CRC Press
Page : 209 pages
File Size : 47,8 Mb
Release : 2002-12-23
Category : Mathematics
ISBN : 9781420026153

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Isometries on Banach Spaces by Richard J. Fleming,James E. Jamison Pdf

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 : Taras Banakh
Publisher : Unknown
Page : 210 pages
File Size : 44,5 Mb
Release : 2001
Category : Mathematics
ISBN : UOM:39015056446886

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General Topology in Banach Spaces by Taras Banakh Pdf