Distortion of Lipschitz functions on $c_0(Gamma)$

0488241 - MÚ 2019 RIV US eng J - Článek v odborném periodiku
Hájek, Petr Pavel - Novotný, M.
Distortion of Lipschitz functions on $c_0(Gamma)$.
Proceedings of the American Mathematical Society. Roč. 146, č. 5 (2018), s. 2173-2180. ISSN 0002-9939. E-ISSN 1088-6826
Grant CEP: GA ČR GA16-07378S
Institucionální podpora: RVO:67985840
Klíčová slova: Banach spaces
Obor OECD: Pure mathematics
Impakt faktor: 0.813, rok: 2018
http://www.ams.org/journals/proc/2018-146-05/S0002-9939-2018-13945-3/

Let Gamma be an uncountable cardinal. We construct a real symmetric 1-Lipschitz function on the unit sphere of c(0)(Gamma) whose restriction to any nonseparable subspace is a distortion.
Trvalý link: http://hdl.handle.net/11104/0282835