2013Mathematica BohemicaOpen access

On strongly preirresolute topological vector spaces

N. Rajesh, V. Vijayabharathi

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Abstract

In the paper we obtain several characteristics of pre-$T_2$ of strongly preirresolute topological vector spaces and show that the extreme point of a convex subset of a strongly preirresolute topological vector space $X$ lies on the boundary.

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What this paper is about

In the paper we obtain several characteristics of pre-$T_2$ of strongly preirresolute topological vector spaces and show that the extreme point of a convex subset of a strongly preirresolute topological vector space $X$ lies on the boundary.

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Available abstract

In the paper we obtain several characteristics of pre-$T_2$ of strongly preirresolute topological vector spaces and show that the extreme point of a convex subset of a strongly preirresolute topological vector space $X$ lies on the boundary.

Key concepts: Locally convex topological vector space, Topological vector space, Topological tensor product, Normed vector space, Topological space, Topology (electrical circuits), Vector space, Mathematics

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