Extension operators on balls and on spaces of finite sets
Antonio Avilés ; Witold Marciszewski
Studia Mathematica, Tome 231 (2015), p. 165-182 / Harvested from The Polish Digital Mathematics Library
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We study extension operators between spaces of continuous functions on the spaces σₙ(2X) of subsets of X of cardinality at most n. As an application, we show that if BH is the unit ball of a nonseparable Hilbert space H equipped with the weak topology, then, for any 0 < λ < μ, there is no extension operator T:C(λBH)→C(μBH).

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:285885 
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     title = {Extension operators on balls and on spaces of finite sets},
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Antonio Avilés; Witold Marciszewski. Extension operators on balls and on spaces of finite sets. Studia Mathematica, Tome 231 (2015) pp. 165-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-2-6/