Separate And Joint Continuity
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Separate And Joint Continuity
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Author : Jiling Cao
language : en
Publisher: CRC Press
Release Date : 2024-07-09
Separate And Joint Continuity written by Jiling Cao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-09 with Mathematics categories.
Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic, which lies at the interface between General Topology and Functional Analysis (and the geometry of Banach spaces in particular). The book offers detailed, self-contained proofs of many of the key results. Although the development of this area has now slowed to a point where an authoritative book can be written, many important and significant problems remain open, and it is hoped that this book may serve as a springboard for future and emerging researchers into this area. Furthermore, it is the strong belief of the authors that this area of research is ripe for exploitation. That is to say, it is their belief that many of the results contained in this monograph can, and should be, applied to other areas of mathematics. It is hoped that this monograph may provide an easily accessible entry point to the main results on separate and joint continuity for mathematicians who are not directly working in this field, but who may be able to exploit some of the deep results that have been developed over the past 125 years. Features Provides detailed, self-contained proofs of many of the key results in the area Suitable for researchers and postgraduates in topology and functional analysis Is the first book to offer a detailed and up-to-date summary of the main ideas and theorems on this topic
Separate Continuity Joint Continuity The Lindel F Property And P Spaces
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Author : Warren B. Moors
language : en
Publisher:
Release Date : 2005
Separate Continuity Joint Continuity The Lindel F Property And P Spaces written by Warren B. Moors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Continuity categories.
Separate Continuity Joint Continuity And The Lindel F Property
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Author : Petar S. Kenderov
language : en
Publisher:
Release Date : 2004
Separate Continuity Joint Continuity And The Lindel F Property written by Petar S. Kenderov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Functions, Continuous categories.
Separate And Joint Continuity
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Author : Jiling Cao
language : en
Publisher: CRC Press
Release Date : 2024-07-09
Separate And Joint Continuity written by Jiling Cao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-09 with Mathematics categories.
Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic, which lies at the interface between General Topology and Functional Analysis (and the geometry of Banach spaces in particular). The book offers detailed, self-contained proofs of many of the key results. Although the development of this area has now slowed to a point where an authoritative book can be written, many important and significant problems remain open, and it is hoped that this book may serve as a springboard for future and emerging researchers into this area. Furthermore, it is the strong belief of the authors that this area of research is ripe for exploitation. That is to say, it is their belief that many of the results contained in this monograph can, and should be, applied to other areas of mathematics. It is hoped that this monograph may provide an easily accessible entry point to the main results on separate and joint continuity for mathematicians who are not directly working in this field, but who may be able to exploit some of the deep results that have been developed over the past 125 years. Features Provides detailed, self-contained proofs of many of the key results in the area Suitable for researchers and postgraduates in topology and functional analysis Is the first book to offer a detailed and up-to-date summary of the main ideas and theorems on this topic
Separate And Joint Continuity Of Multiplicative Functions Defined On Topological Groups
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Author : Jiling Cao
language : en
Publisher:
Release Date : 2000
Separate And Joint Continuity Of Multiplicative Functions Defined On Topological Groups written by Jiling Cao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Topological groups categories.
Local And Analytic Cyclic Homology
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Author : Ralf Meyer
language : en
Publisher: European Mathematical Society
Release Date : 2007
Local And Analytic Cyclic Homology written by Ralf Meyer and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Periodic cyclic homology is a homology theory for non-commutative algebras that plays a similar role in non-commutative geometry as de Rham cohomology for smooth manifolds. While it produces good results for algebras of smooth or polynomial functions, it fails for bigger algebras such as most Banach algebras or C*-algebras. Analytic and local cyclic homology are variants of periodic cyclic homology that work better for such algebras. In this book, the author develops and compares these theories, emphasizing their homological properties. This includes the excision theorem, invariance under passage to certain dense subalgebras, a Universal Coefficient Theorem that relates them to $K$-theory, and the Chern-Connes character for $K$-theory and $K$-homology. The cyclic homology theories studied in this text require a good deal of functional analysis in bornological vector spaces, which is supplied in the first chapters. The focal points here are the relationship with inductive systems and the functional calculus in non-commutative bornological algebras. Some chapters are more elementary and independent of the rest of the book and will be of interest to researchers and students working on functional analysis and its applications.
Studies In Mathematical Physics
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Author : P. Barut
language : en
Publisher: Springer Science & Business Media
Release Date : 1973-12-31
Studies In Mathematical Physics written by P. Barut 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 1973-12-31 with Science categories.
Mathematical physics has become, in recent years, an inde pendent and important branch of science. It is being increasingly recognized that a better knowledge and a more effective channeling of modern mathematics is of great value in solving the problems of pure and applied sciences, and in recognizing the general unifying principles in science. Conversely, mathematical developments are greatly influenced by new physical concepts and ideas. In the last century there were very close links between mathematics and theo retical physics. It must be taken as an encouraging sign that today, after a long communication gap, mathematicians and physicists have common interests and can talk to each other. There is an unmistak able trend of rapprochement when both groups turn towards the com mon source of their science-Nature. To this end the meetings and conferences addres sed to mathematicians and phYSicists and the publication of the studies collected in this Volume are based on lec tures presented at the NATO Advanced Study Institute on Mathemati cal Physics held in Istanbul in August 1970. They contain review papers and didactic material as well as original results. Some of the studies will be helpful for physicists to learn the language and methods of modern mathematical analysis-others for mathematicians to learn physics. All subjects are among the most interesting re search areas of mathematical physics.
Open Problems In Topology Ii
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Author : Elliott M. Pearl
language : en
Publisher: Elsevier
Release Date : 2011-08-11
Open Problems In Topology Ii written by Elliott M. Pearl and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-11 with Mathematics categories.
This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world
Principles Of Analysis
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Author : Hugo D. Junghenn
language : en
Publisher: CRC Press
Release Date : 2018-04-27
Principles Of Analysis written by Hugo D. Junghenn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Mathematics categories.
Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis. The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter . Features: Contains direct and concise proofs with attention to detail Features a substantial variety of interesting and nontrivial examples Includes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercises Provides an eclectic set of special topics and applications About the Author: Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.
Continuity Of The Group Operation
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Author : S. A. Naimpally
language : en
Publisher:
Release Date : 1983
Continuity Of The Group Operation written by S. A. Naimpally and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Topological algebras categories.
Key words and phrases : Semi-topological group, quasi-continuity, separate continuity, joint continuity, k-Baire, k-residual set, locally compact, complete metric. -- from leaf 2.