Some remarks on the structure of Lipschitz-free spaces

Number of the records: 1

1.

SYSNO ASEP	0476946
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Some remarks on the structure of Lipschitz-free spaces
Author(s)	Hájek, Petr Pavel (MU-W)_{RID, SAI} Novotný, M. (CZ)
Source Title	Bulletin of the Belgian Mathematical Society-Simon Stevin - ISSN 1370-1444 Roč. 24, č. 2 (2017), s. 283-304
Number of pages	22 s.
Language	eng - English
Country	BE - Belgium
Keywords	free Banach spaces ; compact metric-spaces ; approximation properties
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA16-07378S GA ČR - Czech Science Foundation (CSF)
Institutional support	MU-W - RVO:67985840
UT WOS	000405534900009
EID SCOPUS	85043337897
Annotation	We give several structural results concerning the Lipschitz-free spaces F(M), where M is a metric space. We show that F(M) contains a complemented copy of l(1)(Gamma), where Gamma = dens(M). If N is a net in a finite dimensional Banach space X, we show that F(N) is isomorphic to its square. If X contains a complemented copy of l(p), c(0) then F(N) is isomorphic to its l(r)-sum. Finally, we prove that for all X congruent to C(K) spaces, where K is a metrizable compact, F(N) are mutually isomorphic spaces with a Schauder basis.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2018

Number of the records: 1