The Mackey-Arens theorem for non-locally convex spaces.

Jerzy Kakol

Collectanea Mathematica (1990)

  • Volume: 41, Issue: 2, page 129-132
  • ISSN: 0010-0757

Abstract

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Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest R-topology on E with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.

How to cite

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Kakol, Jerzy. "The Mackey-Arens theorem for non-locally convex spaces.." Collectanea Mathematica 41.2 (1990): 129-132. <http://eudml.org/doc/42309>.

@article{Kakol1990,
abstract = {Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest R-topology on E with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.},
author = {Kakol, Jerzy},
journal = {Collectanea Mathematica},
keywords = {Espacios vectoriales topológicos; Espacios localmente convexos; Espacio de Hausdorff; Mackey-Arens theorem for nonlocally convex spaces; Hahn-Banach extension property},
language = {eng},
number = {2},
pages = {129-132},
title = {The Mackey-Arens theorem for non-locally convex spaces.},
url = {http://eudml.org/doc/42309},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Kakol, Jerzy
TI - The Mackey-Arens theorem for non-locally convex spaces.
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 2
SP - 129
EP - 132
AB - Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest R-topology on E with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.
LA - eng
KW - Espacios vectoriales topológicos; Espacios localmente convexos; Espacio de Hausdorff; Mackey-Arens theorem for nonlocally convex spaces; Hahn-Banach extension property
UR - http://eudml.org/doc/42309
ER -

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