International Journal of Mathematics and Mathematical Sciences (Jan 2011)
Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras
Abstract
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} 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.