Isomorphisms between spaces of Lipschitz functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00507733" target="_blank" >RIV/67985840:_____/19:00507733 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/19:10408098
Result on the web
<a href="http://dx.doi.org/10.1016/j.jfa.2019.02.003" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2019.02.003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2019.02.003" target="_blank" >10.1016/j.jfa.2019.02.003</a>
Alternative languages
Result language
angličtina
Original language name
Isomorphisms between spaces of Lipschitz functions
Original language description
We develop tools for proving isomorphisms of normed spaces of Lipschitz functions over various doubling metric spaces and Banach spaces. In particular, we show that Lip0(Zd)...Lip0(Rd), for all d in N. More generally, we e.g. show that Lip0(Gamma)...Lip0(G), where Gamma is from a large class of finitely generated nilpotent groups and G is its Mal'cev closure, or that Lip0(ℓp)...Lip0(Lp), for all 1<=p<infty. We leave a large area for further possible research.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Functional Analysis
ISSN
0022-1236
e-ISSN
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Volume of the periodical
277
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
31
Pages from-to
2697-2727
UT code for WoS article
000481726600008
EID of the result in the Scopus database
2-s2.0-85061631094