RT Journal Article
T1 On the Set of Locally Convex Topologies Compatible with a Given Topology on a Vector Space: Cardinality Aspects
A1 Martín Peinador, Elena
A1 Tarieladze, V.
AB 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.
PB Springer New York
SN 10723374
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24630
UL https://hdl.handle.net/20.500.14352/24630
LA eng
NO Unión Europea. FP7
NO Ministerio de Economía y Competitividad (MINECO)
NO Shota Rustaveli National Science Foundation gran
DS Docta Complutense
RD 4 abr 2025