Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral
The notions of compact convex variation and compact convex subdifferential for the mappings from a segment into a locally convex space (LCS) are studied. In the case of an arbitrary complete LCS, each indefinite Bochner integral has compact variation and each strongly absolutely continuous and compa...
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Дата: | 2009 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2009
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Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/5697 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Compact variation, compact subdifferentiability and indefinite Bochner integral / I.V. Orlov, F.S. Stonyakin // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 74-90. — Бібліогр.: 24 назв. — англ. |
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irk-123456789-56972010-02-03T12:01:05Z Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral Orlov, I.V. Stonyakin, F.S. The notions of compact convex variation and compact convex subdifferential for the mappings from a segment into a locally convex space (LCS) are studied. In the case of an arbitrary complete LCS, each indefinite Bochner integral has compact variation and each strongly absolutely continuous and compact subdifferentiable a.e. mapping is an indefinite Bochner integral. 2009 Article Compact variation, compact subdifferentiability and indefinite Bochner integral / I.V. Orlov, F.S. Stonyakin // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 74-90. — Бібліогр.: 24 назв. — англ. 1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5697 en Інститут математики НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
description |
The notions of compact convex variation and compact convex subdifferential for the mappings from a segment into a locally convex space (LCS) are studied. In the case of an arbitrary complete LCS, each indefinite Bochner integral has compact variation and each strongly absolutely continuous and compact subdifferentiable a.e. mapping is an indefinite Bochner integral. |
format |
Article |
author |
Orlov, I.V. Stonyakin, F.S. |
spellingShingle |
Orlov, I.V. Stonyakin, F.S. Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral |
author_facet |
Orlov, I.V. Stonyakin, F.S. |
author_sort |
Orlov, I.V. |
title |
Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral |
title_short |
Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral |
title_full |
Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral |
title_fullStr |
Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral |
title_full_unstemmed |
Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral |
title_sort |
compact variation, compact subdifferetiability and indefinite bochner integral |
publisher |
Інститут математики НАН України |
publishDate |
2009 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/5697 |
citation_txt |
Compact variation, compact subdifferentiability and indefinite Bochner integral / I.V. Orlov, F.S. Stonyakin // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 74-90. — Бібліогр.: 24 назв. — англ. |
work_keys_str_mv |
AT orloviv compactvariationcompactsubdifferetiabilityandindefinitebochnerintegral AT stonyakinfs compactvariationcompactsubdifferetiabilityandindefinitebochnerintegral |
first_indexed |
2023-03-24T08:34:11Z |
last_indexed |
2023-03-24T08:34:11Z |
_version_ |
1796139298972499968 |