Extension operators on balls and on spaces of finite sets

Antonio Avilés, and Witold Marciszewski. "Extension operators on balls and on spaces of finite sets." Studia Mathematica 227.2 (2015): 165-182. <http://eudml.org/doc/285885>.

@article{AntonioAvilés2015,
abstract = {We study extension operators between spaces of continuous functions on the spaces $σₙ(2^\{X\})$ of subsets of X of cardinality at most n. As an application, we show that if $B_\{H\}$ 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 $T: C(λB_\{H\}) → C(μB_\{H\})$.},
author = {Antonio Avilés, Witold Marciszewski},
journal = {Studia Mathematica},
keywords = { spaces; extension operator},
language = {eng},
number = {2},
pages = {165-182},
title = {Extension operators on balls and on spaces of finite sets},
url = {http://eudml.org/doc/285885},
volume = {227},
year = {2015},
}

TY - JOUR
AU - Antonio Avilés
AU - Witold Marciszewski
TI - Extension operators on balls and on spaces of finite sets
JO - Studia Mathematica
PY - 2015
VL - 227
IS - 2
SP - 165
EP - 182
AB - We study extension operators between spaces of continuous functions on the spaces $σₙ(2^{X})$ of subsets of X of cardinality at most n. As an application, we show that if $B_{H}$ 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 $T: C(λB_{H}) → C(μB_{H})$.
LA - eng
KW - spaces; extension operator
UR - http://eudml.org/doc/285885
ER -