Algebras of Unbounded Operators by Aleksey Ber, Vladimir Chil... - 9783111597911

Algebras of Unbounded OperatorsAlgebraic and Topological Aspects of Murrayvon Neumann Algebras\nAuthor(s): Aleksey Ber, Vladimir Chilin, Galina Levitina, Fedor Sukochev, Dmitriy Zanin\nFormat: Paperback\nPublisher: De Gruyter, Germany\nImprint: De Gruyter\nISBN-13: 9783111597911, 978-3111597911\nSynopsis\nDerivations on von Neumann algebras are well understood and are always inner, meaning that they act as commutators with a fixed element from the algebra itself. The purpose of this book is to provide a complete description of derivations on algebras of operators affiliated with a von Neumann algebra. The book is designed to serve as an introductory graduate level to various measurable operators affiliated with a von Neumann algebras and their properties. These classes of operators form their respective algebras and the problem of describing derivations on these algebras was raised by Ayupov, and later by Kadison and Liu. A principal aim of the book is to fully resolve the Ayupov-Kad.