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Abstract Duality Pairs in Analysis
Buch von Charles Swartz
Sprache: Englisch

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Beschreibung
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.
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.
Details
Erscheinungsjahr: 2017
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 304
ISBN-13: 9789813232761
ISBN-10: 9813232765
Sprache: Englisch
Einband: Gebunden
Autor: Charles Swartz
Hersteller: World Scientific Publishing Company
Maße: 235 x 157 x 21 mm
Von/Mit: Charles Swartz
Erscheinungsdatum: 31.12.2017
Gewicht: 0,593 kg
preigu-id: 111179355
Details
Erscheinungsjahr: 2017
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 304
ISBN-13: 9789813232761
ISBN-10: 9813232765
Sprache: Englisch
Einband: Gebunden
Autor: Charles Swartz
Hersteller: World Scientific Publishing Company
Maße: 235 x 157 x 21 mm
Von/Mit: Charles Swartz
Erscheinungsdatum: 31.12.2017
Gewicht: 0,593 kg
preigu-id: 111179355
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