Copyright © 2011 Dangui Yan and Chengchang Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let be a complex Hilbert space and the collection of all linear bounded operators, is the closed subspace lattice including 0 an , then is a nest, accordingly alg is a nest algebra. It will be shown that of nest algebra, generalized derivations are generalized inner derivations, and bilocal Jordan derivations are inner derivations.