Martín Peinador, ElenaTarieladze, V.2023-06-182023-06-1820161072337410.1007/s10958-016-2917-8https://hdl.handle.net/20.500.14352/24630For 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.engOn the Set of Locally Convex Topologies Compatible with a Given Topology on a Vector Space: Cardinality Aspectsjournal articlehttp://link.springer.com/article/10.1007%2Fs10958-016-2917-8restricted access512Álgebra1201 Álgebra