Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms
Vernadsky National Library of Ukraine
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Title |
Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms
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Creator |
Albeverio, S.
Ayupov, Sh.A. Zaitov, A.A. Ruziev, J.E. |
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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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Date |
2010-02-02T13:34:12Z
2010-02-02T13:34:12Z 2009 |
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Type |
Article
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Identifier |
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 |
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Language |
en
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Publisher |
Інститут математики НАН України
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