Affiliation:
1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Abstract
Let A be a factor von Neumann algebra and ? preserve n-tuple new product
derivations on A, that is, for every A1,A2,... ,An ? A, ?(A1 ? A2 ?...? An) = ?(A1) ? A2 ?...? An + A1 ? ?(A2) ?... ? An + ... + A1 ? A2 ?
... ? ?(An) where Ai ?Aj = A*iAj ?A*jAi for i,j ? N, then ? is additive
*-derivation, on the condition that ?(?I/2) is self-adjoint operator for ?
? {1,i}.
Publisher
National Library of Serbia