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Functional analysis and its applications
March 30, 2017 10:30–11:50
 


2-Local derivations on matrix algebras and algebras of measurable operators

Sh. A. Ayupov

Institute of Mathematics, National University of Uzbekistan named by after Mirzo Ulugbek

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Abstract: It is proved that every 2-local derivation on an algebra of matrix-valued functions on a compact is a derivation. In addition, it is shown that any 2-local derivation on the algebra of locally measurable operators affiliated with a von Neumann algebra without direct abelian summands is also a derivation.

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