Closed graph theorems for locally convex topological vector spaces
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Date
2015-06-24
Authors
Helmstedt, Janet Margaret
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Abstract
Let 4 be the class of pairs of loc ..My onvex spaces (X,V) “h ‘ch
are such that every closed graph linear ,pp, 1 from X into V is
continuous. It B is any class of locally . ivex l.ausdortf spaces.
let & w . (X . (X.Y) e 4 for ,11 Y E B). " ‘his expository
dissertation, * (B) is investigated, firstly i r arbitrary B .
secondly when B is the class of C,-complete paces and thirdly
whon B is a class of locally convex webbed s- .ces
Description
A Dissertation Submitted of the Faculty
of Science, University of the Witwatersrand,
Johannesburg in Partial Fulfilment
of the Requirements for the Degree of
Master of Science
Keywords
Vector spaces, Linear topological spaces