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

• Date: 2009
• Main Authors: Albeverio, S., Ayupov, Sh.A., Zaitov, A.A., Ruziev, J.E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5707
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...