IMCS/Publications/BASM/Issues/BASM n.2-3 (18-19), 1995/

Bounded semidirect products of topological algebras. (Romanian)

Authors: Bordan V. G.


If $A$ is a locally linearly compact algebra, then its dual $A^{\star}$ equipped with the linearly compact-open topology is a topological $(A$, $A)$ - bimodule. We give here necessary and sufficient conditions under which the semidirect product $A \rightthreetimes A^{\star}$ is bounded, i.e. has a local base consisting from ideals.

Institutul de Matematică Academia de Ştiiinţe a Moldovei
str. Academiei 5, Chişinău, MD-2028 Moldova