Algebra isomorphisms between standard operator algebras

On Isomorphisms of Standard Operator Algebras

The aim of this paper is to show that between standard operator algebras every bijective map with a certain multiplicativity property related to the Jordan triple isomorphisms of associative rings is automatically additive.

Multiplicative bijective maps on standard operator algebras

Isomorphisms between Topological Conjugacy Algebras

A family of algebras, which we call topological conjugacy algebras, is associated with each proper continuous map on a locally compact Hausdorff space. Assume that ηi : Xi → Xi is a continuous proper map on a locally compact Hausdorff space Xi, for i = 1, 2. We show that the dynamical systems (X1, η1) and (X2, η2) are conjugate if and only if some topological conjugacy algebra of (X1, η1) is is...

Single Elements and Module Isomorphisms of Some Operator Algebra Modules

In this paper, we first introduce the concept of single elements in a module. A systematic study of single elements in the AlgL-module U is initiated, where L is a completely distributive subspace lattice on a Hilbert space H. Furthermore, as an application of single elements, we study module isomorphisms between norm closed AlgN -modules, where N is a nest, and obtain the following result: Sup...

multiplicative bijective maps on standard operator algebras