Open AccessDistortion of Lipschitz functions on 𝑐₀(Γ)
Author(s) -
Petr Hájek,
Maria Novotny
Publication year - 2018
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/13945
Subject(s) - algorithm , annotation , computer science , artificial intelligence
Let Γ \Gamma be an uncountable cardinal. We construct a real symmetric 1 1 -Lipschitz function on the unit sphere of c 0 ( Γ ) c_0(\Gamma ) whose restriction to any nonseparable subspace is a distortion.