%0 Journal Article
%A Martín Peinador, Elena
%A Tarieladze, V.
%T On the Set of Locally Convex Topologies Compatible with a Given Topology on a Vector Space: Cardinality Aspects
%D 2016
%@ 10723374
%U https://hdl.handle.net/20.500.14352/24630
%X For a topological vector space (X, τ ), we consider the family LCT (X, τ ) of all locally convex topologies defined on X, which give rise to the same continuous linear functionals as the original topology τ . We prove that for an infinite-dimensional reflexive Banach space (X, τ ), the cardinality of LCT (X, τ ) is at least c.
%~