Spaces Of Continuous Functions

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Spaces Of Continuous Functions
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Author : G.L.M. Groenewegen
language : en
Publisher: Springer
Release Date : 2016-06-17
Spaces Of Continuous Functions written by G.L.M. Groenewegen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Mathematics categories.
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.
Topological Properties Of Spaces Of Continuous Functions
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Author : Robert A. McCoy
language : en
Publisher: Springer
Release Date : 2006-12-08
Topological Properties Of Spaces Of Continuous Functions written by Robert A. McCoy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies studied are the set-open topologies and the uniform topologies. Where appropriate, the analogous theorems for the two major classes of topologies are studied together, so that a comparison can be made. A chapter on cardinal functions puts characterizations of a number of topological properties of function spaces into a more general setting: some of these results are new, others are generalizations of known theorems. Excercises are included at the end of each chapter, covering other kinds of function space topologies. Thus the book should be appropriate for use in a classroom setting as well as for functional analysis and general topology. The only background needed is some basic knowledge of general topology.
Banach Spaces Of Continuous Functions
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Author : Zbigniew Semadeni
language : en
Publisher:
Release Date : 1971
Banach Spaces Of Continuous Functions written by Zbigniew Semadeni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Banach spaces categories.
Schauder Bases In Banach Spaces Of Continuous Functions
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Author : Z. Semadeni
language : en
Publisher: Springer
Release Date : 2006-11-14
Schauder Bases In Banach Spaces Of Continuous Functions written by Z. Semadeni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Rings Of Continuous Functions
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Author : L. Gillman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Rings Of Continuous Functions written by L. Gillman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Medical categories.
This book is addressed to those who know the meaning of each word in the title: none is defined in the text. The reader can estimate the knowledge required by looking at Chapter 0; he should not be dis couraged, however, if he finds some of its material unfamiliar or the presentation rather hurried. Our objective is a systematic study of the ring C(X) of all real-valued continuous functions on an arbitrary topological space X. We are con cerned with algebraic properties of C(X) and its subring C*(X) of bounded functions and with the interplay between these properties and the topology of the space X on which the functions are defined. Major emphasis is placed on the study of ideals, especially maximal ideals, and on their associated residue class rings. Problems of extending continuous functions from a subspace to the entire space arise as a necessary adjunct to this study and are dealt with in considerable detail. The contents of the book fall naturally into three parts. The first, comprising Chapters 1 through 5 and the beginning of Chapter 10, presents the fundamental aspects of the subject insofar as they can be discussed without introducing the Stone-Cech compactification. In Chapter 3, the study is reduced to the case of completely regular spaces.
H Lder And Locally H Lder Continuous Functions And Open Sets Of Class C K C K Lambda
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Author : Renato Fiorenza
language : en
Publisher: Birkhäuser
Release Date : 2017-01-13
H Lder And Locally H Lder Continuous Functions And Open Sets Of Class C K C K Lambda written by Renato Fiorenza and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-13 with Mathematics categories.
This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the classic λ-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set Ω in Rn. Further, it provides the essential notions of multidimensional geometry applied to analysis. Written in an accessible style and with proofs given as clearly as possible, it is a valuable resource for graduate students in Mathematical Analysis and researchers dealing with Hölder-continuous functions and their applications.
Isometries On Banach Spaces
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Author : Richard J. Fleming
language : en
Publisher: CRC Press
Release Date : 2002-12-23
Isometries On Banach Spaces written by Richard J. Fleming and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-23 with Mathematics categories.
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
Banach Spaces Of Continuous Functions
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Author : Zbigniew Semadeni
language : en
Publisher:
Release Date : 1971
Banach Spaces Of Continuous Functions written by Zbigniew Semadeni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Banach spaces categories.