A simple proof of the approximation by real analytic Lipschitz functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10104851" target="_blank" >RIV/00216208:11320/12:10104851 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2010.10.050" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2010.10.050</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2010.10.050" target="_blank" >10.1016/j.jmaa.2010.10.050</a>
Alternative languages
Result language
angličtina
Original language name
A simple proof of the approximation by real analytic Lipschitz functions
Original language description
A theorem in Azagra et al. (preprint) asserts that on a real separable Banach space with separating polynomial every Lipschitz function can be uniformly approximated by real analytic Lipschitz function with a control over the Lipschitz constant. We givea simple proof of this theorem.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA100190801" target="_blank" >IAA100190801: Smoothness in Banach spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2012
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 Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
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Volume of the periodical
388
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
1-7
UT code for WoS article
000299186000001
EID of the result in the Scopus database
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