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

• Дата: 2009
• Автори: Albeverio, S., Ayupov, Sh.A., Zaitov, A.A., Ruziev, J.E.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2009
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/5707
• 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.

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...