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Martín Peinador, Elena and Tarieladze, V.
(2016)
*On the Set of Locally Convex Topologies Compatible with a Given Topology on a Vector Space: Cardinality Aspects.*
Journal of Mathematical Sciences, 216
(4).
pp. 577-579.
ISSN 10723374

PDF
Restringido a Repository staff only 133kB |

Official URL: http://link.springer.com/article/10.1007%2Fs10958-016-2917-8

## Abstract

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.

Item Type: | Article |
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Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 39260 |

Deposited On: | 07 Oct 2016 12:06 |

Last Modified: | 12 Dec 2018 15:12 |

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