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 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 in...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Publishing Co. Pte Ltd.
© 2018
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| Subjects: | |
| Online Access: | Volltext |
| Summary: | "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."-- |
| Item Description: | Description based on online resource; title from PDF title page (viewed December 6, 2017) |
| Physical Description: | 1 Online-Ressource (302 Seiten) Illustrationen |
| ISBN: | 9789813232778 |
Staff View
MARC
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| 500 | |a Description based on online resource; title from PDF title page (viewed December 6, 2017) | ||
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Record in the Search Index
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| author | Swartz, Charles 1938- |
| author_facet | Swartz, Charles 1938- |
| author_role | aut |
| author_sort | Swartz, Charles 1938- |
| author_variant | c s cs |
| building | Verbundindex |
| bvnumber | BV047124606 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00010783 (OCoLC)1237587594 (DE-599)BVBBV047124606 |
| dewey-full | 515/.63 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515/.63 |
| dewey-sort | 3515 263 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047124606 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:25Z |
| indexdate | 2024-07-10T09:03:19Z |
| institution | BVB |
| isbn | 9789813232778 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530846 |
| oclc_num | 1237587594 |
| open_access_boolean | |
| physical | 1 Online-Ressource (302 Seiten) Illustrationen |
| psigel | ZDB-124-WOP |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific Publishing Co. Pte Ltd. |
| record_format | marc |
| spelling | Swartz, Charles 1938- Verfasser aut Abstract duality pairs in analysis Charles Swartz Singapore World Scientific Publishing Co. Pte Ltd. © 2018 1 Online-Ressource (302 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (viewed December 6, 2017) "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."-- Scalar field theory Abelian groups Functional analysis Electronic books http://www.worldscientific.com/worldscibooks/10.1142/10783#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Swartz, Charles 1938- Abstract duality pairs in analysis Scalar field theory Abelian groups Functional analysis Electronic books |
| title | Abstract duality pairs in analysis |
| title_auth | Abstract duality pairs in analysis |
| title_exact_search | Abstract duality pairs in analysis |
| title_exact_search_txtP | Abstract duality pairs in analysis |
| title_full | Abstract duality pairs in analysis Charles Swartz |
| title_fullStr | Abstract duality pairs in analysis Charles Swartz |
| title_full_unstemmed | Abstract duality pairs in analysis Charles Swartz |
| title_short | Abstract duality pairs in analysis |
| title_sort | abstract duality pairs in analysis |
| topic | Scalar field theory Abelian groups Functional analysis Electronic books |
| topic_facet | Scalar field theory Abelian groups Functional analysis Electronic books |
| url | http://www.worldscientific.com/worldscibooks/10.1142/10783#t=toc |
| work_keys_str_mv | AT swartzcharles abstractdualitypairsinanalysis |