Extension operators on balls and on spaces of finite sets

• Autorzy: Antonio Avilés , Witold Marciszewski
• Języki publikacji: EN

Abstrakty

EN

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 $T: C(λB_{H}) → C(μB_{H})$.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 54C35: Function spaces
• 46B26: Nonseparable Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 227
• Numer: 2
• Strony: 165-182

Daty

wydano

2015

Twórcy

autor

Antonio Avilés

• Departamento de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain

autor

Witold Marciszewski

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm227-2-6