Semitopological Vector Spaces
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Semitopological Vector Spaces
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Author : Mark Burgin
language : en
Publisher: CRC Press
Release Date : 2017-06-26
Semitopological Vector Spaces written by Mark Burgin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-26 with Mathematics categories.
This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and hyperseminormed vector spaces. It develops mathematical tools for the further development of functional analysis and broadening of its applications. Exploration of semitopological vector spaces, hypernormed vector spaces, hyperseminormed vector spaces, and hypermetric vector spaces is the main topic of this book. A new direction in functional analysis, called quantum functional analysis, has been developed based on polinormed and multinormed vector spaces and linear algebras. At the same time, normed vector spaces and topological vector spaces play an important role in physics and in control theory. To make this book comprehendible for the reader and more suitable for students with some basic knowledge in mathematics, denotations and definitions of the main mathematical concepts and structures used in the book are included in the appendix, making the book useful for enhancing traditional courses of calculus for undergraduates, as well as for separate courses for graduate students. The material of Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators is closely related to what is taught at colleges and universities. It is possible to use a definite number of statements from the book as exercises for students because their proofs are not given in the book but left for the reader.
Topological Vector Spaces Algebras And Related Areas
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Author : A Lau
language : en
Publisher: CRC Press
Release Date : 1995-05-15
Topological Vector Spaces Algebras And Related Areas written by A Lau and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-15 with Mathematics categories.
This volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.
Compact Semitopological Semigroups And Weakly Almost Periodic Functions
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Author : J. F. Berglund
language : en
Publisher: Springer
Release Date : 2006-11-14
Compact Semitopological Semigroups And Weakly Almost Periodic Functions written by J. F. Berglund 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.
Sequences In Topological Vector Spaces
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Author : Raymond Fletcher Snipes
language : en
Publisher:
Release Date : 1971
Sequences In Topological Vector Spaces written by Raymond Fletcher Snipes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Linear topological spaces categories.
Introduction To Topological Groups
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Author : Taqdir Husain
language : en
Publisher: Courier Dover Publications
Release Date : 2018-02-15
Introduction To Topological Groups written by Taqdir Husain and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-15 with Mathematics categories.
Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. 1966 edition.
Semitopological Vector Spaces
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Author : Mark Burgin
language : en
Publisher: CRC Press
Release Date : 2017-06-26
Semitopological Vector Spaces written by Mark Burgin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-26 with Mathematics categories.
This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and hyperseminormed vector spaces. It develops mathematical tools for the further development of functional analysis and broadening of its applications. Exploration of semitopological vector spaces, hypernormed vector spaces, hyperseminormed vector spaces, and hypermetric vector spaces is the main topic of this book. A new direction in functional analysis, called quantum functional analysis, has been developed based on polinormed and multinormed vector spaces and linear algebras. At the same time, normed vector spaces and topological vector spaces play an important role in physics and in control theory. To make this book comprehendible for the reader and more suitable for students with some basic knowledge in mathematics, denotations and definitions of the main mathematical concepts and structures used in the book are included in the appendix, making the book useful for enhancing traditional courses of calculus for undergraduates, as well as for separate courses for graduate students. The material of Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators is closely related to what is taught at colleges and universities. It is possible to use a definite number of statements from the book as exercises for students because their proofs are not given in the book but left for the reader.
Function Spaces
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Author : Krzysztof Jarosz
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Function Spaces written by Krzysztof Jarosz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book consists of contributions by the participants of the Fifth Conference on Function Spaces, held at Southern Illinois University in May of 2006. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $L{p $-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects. The goal of the conference was to bring together mathematicians interested in various problems related to function spaces and to facilitate the exchange of ideas between people working on similar problems. Hence, the majority of papers in this book are accessible to non-experts. Some articles contain expositions of known results and discuss open problems, others contain new results.
Proceedings On Infinite Dimensional Holomorphy
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Author : T.L. Hayden
language : en
Publisher: Springer
Release Date : 2006-11-15
Proceedings On Infinite Dimensional Holomorphy written by T.L. Hayden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Theory Of Knowledge Structures And Processes
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Author : Mark Burgin
language : en
Publisher: World Scientific
Release Date : 2016-10-27
Theory Of Knowledge Structures And Processes written by Mark Burgin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-27 with Business & Economics categories.
This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society.The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and networks.
Functional Analysis And Related Topics Proceedings Of The International Symposium
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Author : Shozo Koshi
language : en
Publisher: World Scientific
Release Date : 1991-10-31
Functional Analysis And Related Topics Proceedings Of The International Symposium written by Shozo Koshi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-31 with categories.
The objective of this symposium is to discuss the recent developments in the various areas of functional analysis. This volume consists mainly of articles in the fields of topological algebra, Banach spaces, function spaces, harmonic analysis, operator theory and application of functional analysis.