Počet záznamů: 1  

Some remarks on the structure of Lipschitz-free spaces

  1. 1. 0476946 - MU-W 2018 RIV BE eng J - Článek v odborném periodiku
    Hájek, Petr Pavel - Novotný, M.
    Some remarks on the structure of Lipschitz-free spaces.
    Bulletin of the Belgian Mathematical Society-Simon Stevin. Roč. 24, č. 2 (2017), s. 283-304 ISSN 1370-1444
    Grant CEP: GA ČR GA16-07378S
    Institucionální podpora: RVO:67985840
    Klíčová slova: free Banach spaces * compact metric-spaces * approximation properties
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Pure mathematics
    Impakt faktor: 0.423, rok: 2017
    https://projecteuclid.org/euclid.bbms/1503453711

    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.
    Trvalý link: http://hdl.handle.net/11104/0273352