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Strong diameter two property and convex combination of slices reaching
the unit sphere
release_bjt6xo2ihzezjg2xd3xhrntp3y
by
Gines Lopez-Perez, Miguel Martin, Abraham Rueda Zoca
Released
as a article
.
2019
Abstract
We characterise the class of those Banach spaces in which every convex
combination of slices of the unit ball intersects the unit sphere as the class
of those spaces in which every convex combination of slices of the unit ball
contains two points at distance exactly two. Also, we study when the convex
combinations of slices of the unit ball are relatively open or has non-empty
relative interior for different topologies, studying the relationship between
them and studying these properties for L_∞-spaces and preduals of
L_1-spaces.
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1703.04749v2
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