Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms
Репозиторій DSpace/Manakin
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Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms
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
Переглядів:
1277
Завантажень:
614
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.
