Geodesic
A finite dimensional reduction of the Schauder Conjecture
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 401-404 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Schauder's Conjecture (i.e\. every 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.
Schauder's Conjecture (i.e\. every 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.
Classification : 46A16, 47H04, 47H10, 54C60, 54H25
Keywords: compact convex set; fixed point property; multivalued map; local convexity; topological vector space; Schauder Conjecture. 
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     title = {A finite dimensional reduction of the {Schauder} {Conjecture}},
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De Pascale, Espedito. A finite dimensional reduction of the Schauder Conjecture. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 401-404. http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a0/