On supportless absorbing convex subsets in normed spaces

V. Fonf

Studia Mathematica (1993)

  • Volume: 104, Issue: 3, page 279-284
  • ISSN: 0039-3223

Abstract

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It is proved that a separable normed space contains a closed bounded convex symmetric absorbing supportless subset if and only if this space may be covered (in its completion) by the range of a nonisomorphic operator.

How to cite

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Fonf, V.. "On supportless absorbing convex subsets in normed spaces." Studia Mathematica 104.3 (1993): 279-284. <http://eudml.org/doc/215976>.

@article{Fonf1993,
abstract = {It is proved that a separable normed space contains a closed bounded convex symmetric absorbing supportless subset if and only if this space may be covered (in its completion) by the range of a nonisomorphic operator.},
author = {Fonf, V.},
journal = {Studia Mathematica},
keywords = {separable normed space; closed bounded convex symmetric absorbing supportless subset; range of a nonisomorphic operator},
language = {eng},
number = {3},
pages = {279-284},
title = {On supportless absorbing convex subsets in normed spaces},
url = {http://eudml.org/doc/215976},
volume = {104},
year = {1993},
}

TY - JOUR
AU - Fonf, V.
TI - On supportless absorbing convex subsets in normed spaces
JO - Studia Mathematica
PY - 1993
VL - 104
IS - 3
SP - 279
EP - 284
AB - It is proved that a separable normed space contains a closed bounded convex symmetric absorbing supportless subset if and only if this space may be covered (in its completion) by the range of a nonisomorphic operator.
LA - eng
KW - separable normed space; closed bounded convex symmetric absorbing supportless subset; range of a nonisomorphic operator
UR - http://eudml.org/doc/215976
ER -

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