Semitopological Vector Spaces : Hypernorms, Hyperseminorms, and Operators /

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 hyp...

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Bibliographic Details
Main Author:	Burgin, Mark (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Apple Academic Press, 2017.
Edition:	First edition.
Subjects:	Linear topological spaces. Operator theory. Vector spaces. Mathematical Analysis. Espaces vectoriels topologiques. Théorie des opérateurs. Espaces vectoriels. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Chapter 1 INTRODUCTION
chapter 2 HYPERNUMBERS: CONSTRUCTIONS AND OPERATIONS
chapter 3 FROM NORMS, METRICS, AND SEMINORMS TO HYPERNORMS, HYPERMETRICS, AND HYPERSEMINORMS
chapter 4 HYPEROPERATORS, HYPERFUNCTIONALS, AND EXTRAFUNCTIONS: CONSTRUCTIONS AND OPERATIONS
chapter 5 FROM TOPOLOGICAL VECTOR SPACES TO SEMITOPOLOGICAL VECTOR SPACES
chapter 6 CONTINUITY AND BOUNDEDNESS
chapter 7 FROM CONTINUITY TO FUZZY CONTINUITY
chapter 8 APPROXIMATELY LINEAR OPERATORS
chapter 9 FROM BOUNDEDNESS TO MULTIBOUNDEDNESS
chapter 10 BOUNDEDNESS AND FUZZY CONTINUITY
chapter 11 CONCLUSION AND DIRECTIONS FOR FUTURE RESEARCH.