Derivations on the algebra of measurable operators affiliated with a type I von Neumann algebra
Sergio AlbeverioInstitut für Angewandte Mathematik, Universität Bonn, Bonn, D-53115, GermanySh. A. AyupovInstitute of Mathematics and Information Technologies, Tashkent, 100125, UzbekistanKarimbergen KudaybergenovInstitute of Mathematics and Information Technologies, Tashkent, 100125, Uzbekistan
ABI
Аннотация
Let M be a type I von Neumann algebra with the center Z and let LS(M) be the algebra of all locally measurable operators affiliated with M. We prove that every Z-linear derivation on LS(M) is inner. In particular, all Z-linear derivations on the algebras of measurable and respectively totally measurable operators are spatial and implemented by elements of LS(M).
Темы
Идентификаторы
Цитирования и источники
Показатели — AkademScholar · Скоро