Renormalizations of measurable operator ideal spaces affiliated to semi-finite von Neumann algebra
نویسندگان
چکیده
منابع مشابه
Derivations on the Algebra of Measurable Operators Affiliated with a Type I von Neumann Algebra
Let M be a type I von Neumann algebra with the center Z and a faithful normal semi-finite trace τ. Let L(M, τ) be the algebra of all τ -measurable operators affiliated with M. We prove that any Z-linear derivation on L(M, τ) is inner and hence automatically continuous in the measure topology. If the lattice of projections from Z is atomic then any derivation on L(M, τ) is Z-linear. This implies...
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ژورنال
عنوان ژورنال: Ufa Mathematical Journal
سال: 2019
ISSN: 2074-1863,2074-1871
DOI: 10.13108/2019-11-3-3