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.

Near Vector Spaces And Related Topics

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Author : Hsien-Chung Wu
language : en
Publisher: CRC Press
Release Date : 2026-02-01

Near Vector Spaces And Related Topics written by Hsien-Chung Wu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2026-02-01 with Mathematics categories.

Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas. Since many topics in nonlinear analysis rely on the properties established in topological vector space, the concepts and topics presented in this book may stir up the interest of some researchers working in mathematical analysis, especially nonlinear analysis, and thus may potentially open a new avenue of research. The main prerequisites for most of the material in this book are basic concepts of functional analysis, including the basic tools of topology. This book is accessible to senior undergraduate students in mathematics and may also be used as a graduate level text, or as a reference for researchers who work on the applications of nonlinear analysis. Features Valuable resource for researchers and postgraduate students interested in the foundation of fuzzy sets and nonlinear analysis Presents new, previously unpublished material on near vector spaces Well-organised and comprehensive treatment of the subject.

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.

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.

Introduction To Topological Groups

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Author : Taqdir Husain
language : en
Publisher: Courier Dover Publications
Release Date : 2018-01-10

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 2018-01-10 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.

The Influence Of Solomon Lefschetz In Geometry And Topology

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Author : Ernesto Lupercio
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-08-05

The Influence Of Solomon Lefschetz In Geometry And Topology written by Ernesto Lupercio 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 2014-08-05 with Mathematics categories.

The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-México, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and México. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.