Some remarks on the structure of Lipschitz-free spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00476946" target="_blank" >RIV/67985840:_____/17:00476946 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21230/17:00313687

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Some remarks on the structure of Lipschitz-free spaces

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA16-07378S" target="_blank" >GA16-07378S: Nonlinear analysis in Banach spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Bulletin of the Belgian Mathematical Society-Simon Stevin

ISSN

1370-1444

e-ISSN

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Volume of the periodical

24

Issue of the periodical within the volume

2

Country of publishing house

BE - BELGIUM

Number of pages

22

Pages from-to

283-304

UT code for WoS article

000405534900009

EID of the result in the Scopus database

2-s2.0-85043337897