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theory of locally convex spaces. A method of their exact calculation is presented. The approximating

Let A be a locally m-convex Frechet algebra. We give a necessary and sufficient condition for a

)$ of elementary operators is $t_{\tau l}$-dense in $S(M, \tau)$. If $t_{\tau}$ is locally convex then so is $t

Let A be a locally m-convex Fréchet algebra. We give a necessary and suffcient condition for a

if and only if there exist at least two equivalent norms by order unit spaces with order unities fα and fβ

considered in locally convex topological spaces and also in Banach space settings. Besides deriving

In this paper we introduce an enhanced notion of extremal systems for sets in locally convex

-continuous representations of the group in a Hilbert space and continuous representations of the group algebra

if and only if there exist at least two equivalent norms by order unit spaces with order unities fα and fβ

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