Semitopological vector spaces : hypernorms, hyperseminorms, and operators
 Responsibility
 Mark Burgin, PhD.
 Publication
 Oakville, ON ; Waretown, NJ : Apple Academic Press, 2017.
 Copyright notice
 ©2017
 Physical description
 x, 466 pages ; 24 cm
At the library
Science Library (Li and Ma)
Stacks
Call number  Status 

QA186 .B87 2017  Unknown 
More options
Description
Creators/Contributors
 Author/Creator
 Burgin, M. S. (Mark Semenovich)
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Hypernumbers: Constructions and Operations Hypernorms, Hypermetrics and Hyperseminorms Hyper Operators, Hyperfunctionals and Extra functions: Constructions and Operations From Topological Vector Spaces to Semi Topological Vector Spaces Continuity and Boundedness From Continuity to Fuzzy Continuity Approximately Linear Operators From Boundedness to Multiboundedness Boundedness and Fuzzy Continuity Conclusion and Directions for Future Research.
 (source: Nielsen Book Data)
 Publisher's Summary
 ["This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinitedimensional 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.", {"source"=>"(source: Nielsen Book Data)"}, "9781771885348", "20171002"]
Subjects
Bibliographic information
 Publication date
 2017
 Copyright date
 2017
 ISBN
 9781771885348 (hardcover : acidfree paper)
 1771885343 (hardcover : acidfree paper)