On supportless absorbing convex subsets in normed spaces
Studia Mathematica (1993)
- Volume: 104, Issue: 3, page 279-284
- ISSN: 0039-3223
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topFonf, 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 -
References
top- [1] E. Bishop and R. R. Phelps, A proof that every Banach space is subreflexive, Bull. Amer. Math. Soc. 67 (1961), 97-98. Zbl0098.07905
- [2] J. M. Borwein and D. W. Tingley, On supportless convex sets, Proc. Amer. Math. Soc. 94 (1985), 471-476. Zbl0605.46012
- [3] V. Klee, Extremal structure of convex sets. II, Math. Z. 69 (1958), 90-104. Zbl0079.12502
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