A finite dimensional reduction of the Schauder Conjecture

Espedito De Pascale

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 3, page 401-404
  • ISSN: 0010-2628

Abstract

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Schauder’s Conjecture (i.eėvery compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.

How to cite

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De Pascale, Espedito. "A finite dimensional reduction of the Schauder Conjecture." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 401-404. <http://eudml.org/doc/247495>.

@article{DePascale1993,
abstract = {Schauder’s Conjecture (i.eėvery compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.},
author = {De Pascale, Espedito},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {compact convex set; fixed point property; multivalued map; local convexity; topological vector space; Schauder Conjecture; Schauder's conjecture; fixed points; multivalued map},
language = {eng},
number = {3},
pages = {401-404},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A finite dimensional reduction of the Schauder Conjecture},
url = {http://eudml.org/doc/247495},
volume = {34},
year = {1993},
}

TY - JOUR
AU - De Pascale, Espedito
TI - A finite dimensional reduction of the Schauder Conjecture
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 3
SP - 401
EP - 404
AB - Schauder’s Conjecture (i.eėvery compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.
LA - eng
KW - compact convex set; fixed point property; multivalued map; local convexity; topological vector space; Schauder Conjecture; Schauder's conjecture; fixed points; multivalued map
UR - http://eudml.org/doc/247495
ER -

References

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