Seminars: Sh. A. Ayupov, 2-Local derivations on matrix algebras and algebras of measurable operators

SEMINARS


Functional analysis and its applications March 30, 2017 10:30

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
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.