Open AccessDistortion of Lipschitz functions on 𝑐₀(Γ)
Author(s) -
Petr Hájek,
Matěj Novotný
Publication year - 2017
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) - distortion (music) , lipschitz continuity , mathematics , computer science , mathematical analysis , telecommunications , amplifier , bandwidth (computing)
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.
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