# 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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