Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms

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Фізико-технічні та математичні науки
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Відділення математики
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Methods of Functional Analysis and Topology
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Methods of Functional Analysis and Topology, 2009
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Methods of Functional Analysis and Topology, 2009, № 2
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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.

URI: http://dspace.nbuv.gov.ua/handle/123456789/5707

Посилання: 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.

Дата: 2009

Завантажень: 627

Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms

Анотація:

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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