Topological Tensor Products of Unbounded Operator Algebras on Frechet Domains

Abstract

The aim of this paper is to investigate topological properties of unbounded operator algebras $\mathcal{A}\subset L^{+}(D)$ and its stability under the formation of topological tensor products ${\mathcal{A}}_1{\otimes }_{\alpha }{\mathcal{A}}_2$. It is used the method to define topological properties by operator.