Continuity of derivations of algebras of locally measurable operators
نویسندگان
چکیده
منابع مشابه
Local Derivations on Algebras of Measurable Operators
The paper is devoted to local derivations on the algebra S(M, τ) of τ measurable operators affiliated with a von Neumann algebra M and a faithful normal semi-finite trace τ. We prove that every local derivation on S(M, τ) which is continuous in the measure topology, is in fact a derivation. In the particular case of type I von Neumann algebras they all are inner derivations. It is proved that f...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2013
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-013-2039-3