ISOMORPHISMS ON LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES

Student: Terver Gema
Supervisor: Mr Uche Anslem Amaonyeiro
HOD: Prof Abolape Deborah Akwu
Department of Mathematics
Physical Sciences
Joseph Sarwuan Tarka University, Makurdi, Benue State

Abstract

ABSTRACT We investigate a suitable structure for quantified functional analysis, by looking at the notion of isomorphisms on locally convex topological vector spaces. We prove that the locally convex spaces are exactly the ones of topological vector spaces that generalizes normed spaces, we construct a quantified version of the continuous linear functional and show that the locally convex objects admitting the functional analysis with respect to its Barrelled space

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