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math.OA2011★ 4 cited
Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra
Sh. A. Ayupov, V. I. Chilin, R. Z. Abdullaev
In the present paper we introduce a certain class of non commutative Orlicz spaces, associated with arbitrary faithful normal locally-finite weights on a semi-finite von Neumann al…
math.OA2011★ 3 cited
Continuity of derivations in algebras of locally measurable operators
A. F. Ber, V. I. Chilin, F. A. Sukochev
We prove that any derivation of the *-algebra of all locally measurable operators affiliated with a properly infinite von Neumann algebra is continu…