Local Derivations, Automorphisms and Commutativity Preserving Maps on $\mathscr L^+(\mathscr D)$

Abstract

In this paper we study linear operators 0: J&?~u(^) > J*f + (^), where 2 is a dense linear subspace in a Hilbert-space Jf. jf + (S) is a *-algebra which in general contains unbounded operators. Such *-algebras of unbounded operators have been studied for more than 20 years (see e. g. Much results of this theory state analogies between *-algebras of unbounded operators and algebras of bounded operators. That will be the case also in this paper. We want to generalize results of LARSON, SOUROUR and OMLADIC (see

Identifiers

DOI

10.2977/prims/1195166425

Citations and references