Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms
In the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all Lº-linear derivations and Lº-linear *-automorphisms are inner. Moreover, it is proved that each L0-linear automorphism of the algebr...
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| Дата: | 2009 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/5707 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms / S. Albeverio, Sh.A. Ayupov, A.A. Zaitov, J.E. Ruziev // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 177-187. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-57072010-02-03T12:01:16Z Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms Albeverio, S. Ayupov, Sh.A. Zaitov, A.A. Ruziev, J.E. In the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all Lº-linear derivations and Lº-linear *-automorphisms are inner. Moreover, it is proved that each L0-linear automorphism of the algebra of all linear operators on a bo-dense submodule of a Kaplansky-Hilbert module over the ring of measurable functions is spatial. 2009 Article Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms / S. Albeverio, Sh.A. Ayupov, A.A. Zaitov, J.E. Ruziev // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 177-187. — Бібліогр.: 10 назв. — англ. 1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5707 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all Lº-linear derivations and Lº-linear *-automorphisms are inner. Moreover, it is proved that each L0-linear automorphism of the algebra of all linear operators on a bo-dense submodule of a Kaplansky-Hilbert module over the ring of measurable functions is spatial. |
| format |
Article |
| author |
Albeverio, S. Ayupov, Sh.A. Zaitov, A.A. Ruziev, J.E. |
| spellingShingle |
Albeverio, S. Ayupov, Sh.A. Zaitov, A.A. Ruziev, J.E. Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms |
| author_facet |
Albeverio, S. Ayupov, Sh.A. Zaitov, A.A. Ruziev, J.E. |
| author_sort |
Albeverio, S. |
| title |
Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms |
| title_short |
Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms |
| title_full |
Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms |
| title_fullStr |
Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms |
| title_full_unstemmed |
Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms |
| title_sort |
algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/5707 |
| citation_txt |
Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms / S. Albeverio, Sh.A. Ayupov, A.A. Zaitov, J.E. Ruziev // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 177-187. — Бібліогр.: 10 назв. — англ. |
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2023-10-18T16:33:27Z |
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2023-10-18T16:33:27Z |
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