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: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862632255997870080 |
|---|---|
| author | Orlov, I.V. Stonyakin, F.S. |
| author_facet | Orlov, I.V. Stonyakin, F.S. |
| 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. |
| collection | DSpace DC |
| 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.
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| first_indexed | 2025-11-30T13:23:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5697 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-11-30T13:23:29Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Orlov, I.V. Stonyakin, F.S. 2010-02-02T12:56:37Z 2010-02-02T12:56:37Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/5697 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. en Інститут математики НАН України Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral Article published earlier |
| spellingShingle | Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral Orlov, I.V. Stonyakin, F.S. |
| title | 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_short | Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral |
| title_sort | compact variation, compact subdifferetiability and indefinite bochner integral |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5697 |
| work_keys_str_mv | AT orloviv compactvariationcompactsubdifferetiabilityandindefinitebochnerintegral AT stonyakinfs compactvariationcompactsubdifferetiabilityandindefinitebochnerintegral |