2-LOCAL DERIVATIONS ON SEMI-FINITE VON NEUMANN ALGEBRAS
Shavkat AyupovInstitute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan, and the Abdus Salam International Centre for Theoretical Physics (ICTP) Trieste, Italy e-mail:FARKHAD ARZIKULOVInstitute of Mathematics, National University of Uzbekistan, Tashkent, and Andizhan State University, Andizhan, Uzbekistan e-mail:
ABI
Abstract
Abstract In the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.