On coarse embeddings into c0(Gamma)

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00488703" target="_blank" >RIV/67985840:_____/18:00488703 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21230/18:00322034

Result on the web

<a href="http://dx.doi.org/10.1093/qmath/hax035" target="_blank" >http://dx.doi.org/10.1093/qmath/hax035</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1093/qmath/hax035" target="_blank" >10.1093/qmath/hax035</a>

Result language

angličtina

Original language name

On coarse embeddings into c0(Gamma)

Original language description

Let λ be a large enough cardinal number (assuming the Generalized Continuum Hypothesis it suffices to let λ =w ‰). If X is a Banach space with dens(X)≥λ, which admits a coarse (or uniform) embedding into any c0(σ), then X fails to have non-trivial cotype, i.e. X contains ℓ nC-uniformly for every C>1. In the special case when X has a symmetric basis, we may even conclude that it is linearly isomorphic with c0(densX).

Czech name

—

Czech description

—

Type

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

CEP classification

—

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

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

Name of the periodical

Quarterly Journal of Mathematics

ISSN

0033-5606

e-ISSN

—

Volume of the periodical

69

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

12

Pages from-to

211-222

UT code for WoS article

000427014800008

EID of the result in the Scopus database

2-s2.0-85043356002