Abstract Duality Pairs in Analysis
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Book Overview The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the t...
The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz-Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach-Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali-Hahn-Saks Theorem from measure theory and the Hahn-Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis.
Book Details Format: Hardcover | Pages: 289 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9813232765
FormatHardcover
Pages289
LanguageEnglish
ISBN9813232765
EAN9789813232761
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
Edition1
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.26 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.69 Inches
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