Invariant vector means and complementability of Banach spaces in their second duals

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DC pole	Wartość	Język
dc.contributor.author	Łukasik, Radosław	-
dc.date.accessioned	2022-01-28T10:59:59Z	-
dc.date.available	2022-01-28T10:59:59Z	-
dc.date.issued	2022	-
dc.identifier.citation	"Aequationes Mathematicae", Vol. 96, no. 0, 2022, s. 1-12	pl_PL
dc.identifier.issn	0001-9054	-
dc.identifier.issn	1420-8903	-
dc.identifier.uri	http://hdl.handle.net/20.500.12128/22422	-
dc.description.abstract	Let X be a Banach space. Fix a torsion-free commutative and cancellative semigroup S whose torsion-free rank is the same as the density of X∗∗. We then show that X is complemented in X∗∗ if and only if there exists an invariant mean M:ℓ∞(S,X)→X. This improves upon previous results due to Bustos Domecq (J Math Anal Appl 275(2):512–520, 2002), Kania (J Math Anal Appl 445:797–802, 2017), Goucher and Kania (Studia Math 260:91–101, 2021).	pl_PL
dc.language.iso	en	pl_PL
dc.rights	Uznanie autorstwa 3.0 Polska	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/pl/	*
dc.subject	Commutative semigroup	pl_PL
dc.subject	Invariant mean	pl_PL
dc.subject	Vector-valued mean	pl_PL
dc.subject	Principle of local reflexivity	pl_PL
dc.subject	Banach space complemented in bidual	pl_PL
dc.subject	Commutative cancellative semigroup	pl_PL
dc.title	Invariant vector means and complementability of Banach spaces in their second duals	pl_PL
dc.type	info:eu-repo/semantics/article	pl_PL
dc.identifier.doi	10.1007/s00010-022- 00866-6	-
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