40 research outputs found
2-Local derivations on algebras of locally measurable operators
The paper is devoted to 2-local derivations on the algebra of all
locally measurable operators affiliated with a type I von Neumann
algebra We prove that every 2-local derivation on is a derivation.Comment: arXiv admin note: substantial text overlap with arXiv:1110.155
Non Commutative Arens Algebras and their Derivations
Given a von Neumann algebra with a faithful normal semi-finite trace
we consider the non commutative Arens algebra and the related algebras
and
which are proved to be complete metrizable locally
convex *-algebras. The main purpose of the present paper is to prove that any
derivation of the algebra is inner and all
derivations of the algebras and
are spatial and implemented by elements of Comment: 19 pages. Submitted to Journal of Functional analysi