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Auteur : Charles W. Swartz
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais

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.

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Abstract Duality Pairs In Analysis (Functional Analysis ~ Achetez et téléchargez ebook Abstract Duality Pairs In Analysis (Functional Analysis) (English Edition): Boutique Kindle - Functional Analysis : Amazon

Abstract duality pairs in analysis - researchgate ~ Download Citation / Abstract duality pairs in analysis / The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the .

Abstract Duality Pairs in Analysis - World Scientific ~ The idea of abstract duality pairs or abstract triples is to replace the scalar field ℝ by a Hausdorff Abelian topological group G and to replace the vector spaces E, F by arbitrary sets; in most applications the sets E, F have additional structures. A theory of abstract triples was initially developed by Professor Ronglu Li and Charles Swartz when Professor Li was a visiting scholar in the .

Abstract Duality Pairs in Analysis (eBook) by Charles ~ Abstract Duality Pairs in Analysis (eBook) by Charles Swartz (Author), isbn:9789813232785, synopsis:The book presents a theory of abstract duality .

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Abstract Duality Pairs in Analysis - Swartz, Charles W ~ Abstract Duality Pairs in Analysis by Swartz, Charles W.. Hardcover available at Half Price Books® https://www.hpb . Abstract Duality Pairs In Analysis. by Swartz, Charles W. 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 .

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(PDF) An Abstract Duality - ResearchGate ~ We present a notion of abstract duality that provides a common characterization of several combinatorial dualities, as well as the orthogonality relation on vector spaces coordinatized over fields .

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9789813232761: Abstract Duality Pairs in Analysis ~ Abstract Duality Pairs in Analysis (Functional Analysis) de Swartz, Charles en Iberlibro - ISBN 10: 9813232765 - ISBN 13: 9789813232761 - WSPC - 2017 - Tapa dura

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