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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| Datum: | 2009 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/5707 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862737311329943552 |
|---|---|
| author | Albeverio, S. Ayupov, Sh.A. Zaitov, A.A. Ruziev, J.E. |
| author_facet | Albeverio, S. Ayupov, Sh.A. Zaitov, A.A. Ruziev, J.E. |
| 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. |
| collection | DSpace DC |
| 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.
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| first_indexed | 2025-12-07T19:58:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5707 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-12-07T19:58:46Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Albeverio, S. Ayupov, Sh.A. Zaitov, A.A. Ruziev, J.E. 2010-02-02T13:34:12Z 2010-02-02T13:34:12Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/5707 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. en Інститут математики НАН України Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms Article published earlier |
| spellingShingle | 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. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5707 |
| work_keys_str_mv | AT albeverios algebrasofunboundedoperatorsovertheringofmeasurablefunctionsandtheirderivationsandautomorphisms AT ayupovsha algebrasofunboundedoperatorsovertheringofmeasurablefunctionsandtheirderivationsandautomorphisms AT zaitovaa algebrasofunboundedoperatorsovertheringofmeasurablefunctionsandtheirderivationsandautomorphisms AT ruzievje algebrasofunboundedoperatorsovertheringofmeasurablefunctionsandtheirderivationsandautomorphisms |