Order-Unit Spaces which are Banach Dual Spaces
Spaces of selfadjoint elements of a C*-algebra or a von Neumann algebra, and also JB- and JBW-algebras are examples of order-unit spaces. A von Neumann algebra and a JBW-algebra possess predual spaces, but, generally speaking, a JB-algebra and a C*-algebra don't have this property. In this work...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2006 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106587 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Order-Unit Spaces which are Banach Dual Spaces / M.A. Berdikulov // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 2. — С. 130-137. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862682425087229952 |
|---|---|
| author | Berdikulov, M.A. |
| author_facet | Berdikulov, M.A. |
| citation_txt | Order-Unit Spaces which are Banach Dual Spaces / M.A. Berdikulov // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 2. — С. 130-137. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | Spaces of selfadjoint elements of a C*-algebra or a von Neumann algebra, and also JB- and JBW-algebras are examples of order-unit spaces. A von Neumann algebra and a JBW-algebra possess predual spaces, but, generally speaking, a JB-algebra and a C*-algebra don't have this property. In this work, conditions are found for an order-unit space to possess a predual space. Moreover, a condition is obtained characterizing JBW-algebras among order-unit spaces having a predual space.
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| first_indexed | 2025-12-07T15:53:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106587 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T15:53:25Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Berdikulov, M.A. 2016-09-30T20:35:22Z 2016-09-30T20:35:22Z 2006 Order-Unit Spaces which are Banach Dual Spaces / M.A. Berdikulov // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 2. — С. 130-137. — Бібліогр.: 11 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106587 Spaces of selfadjoint elements of a C*-algebra or a von Neumann algebra, and also JB- and JBW-algebras are examples of order-unit spaces. A von Neumann algebra and a JBW-algebra possess predual spaces, but, generally speaking, a JB-algebra and a C*-algebra don't have this property. In this work, conditions are found for an order-unit space to possess a predual space. Moreover, a condition is obtained characterizing JBW-algebras among order-unit spaces having a predual space. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Order-Unit Spaces which are Banach Dual Spaces Article published earlier |
| spellingShingle | Order-Unit Spaces which are Banach Dual Spaces Berdikulov, M.A. |
| title | Order-Unit Spaces which are Banach Dual Spaces |
| title_full | Order-Unit Spaces which are Banach Dual Spaces |
| title_fullStr | Order-Unit Spaces which are Banach Dual Spaces |
| title_full_unstemmed | Order-Unit Spaces which are Banach Dual Spaces |
| title_short | Order-Unit Spaces which are Banach Dual Spaces |
| title_sort | order-unit spaces which are banach dual spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106587 |
| work_keys_str_mv | AT berdikulovma orderunitspaceswhicharebanachdualspaces |