Further generalized versions of Ilmanen lemma on insertion of C-(1,omega) or C-loc(1,omega) functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10441215" target="_blank" >RIV/00216208:11320/21:10441215 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=DZ3eE.HvRE" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=DZ3eE.HvRE</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14712/1213-7243.2021.031" target="_blank" >10.14712/1213-7243.2021.031</a>
Alternative languages
Result language
angličtina
Original language name
Further generalized versions of Ilmanen lemma on insertion of C-(1,omega) or C-loc(1,omega) functions
Original language description
This is a generalization of Ilmanen's lemma (which deals with linear modulus and functions on an open subset of R n). Here we extend the mentioned result from Hilbert spaces to some superreflexive spaces, in particular to L p spaces, p ELEMENT OF [2, oo). We also prove a "global" version of Ilmanen's lemma (where a C1,ω function is inserted between functions on an interval I SUBSET OF R).
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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Commentationes Mathematicae Universitatis Carolinae
ISSN
0010-2628
e-ISSN
1213-7243
Volume of the periodical
62
Issue of the periodical within the volume
4
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
11
Pages from-to
445-455
UT code for WoS article
000818514600005
EID of the result in the Scopus database
2-s2.0-85125108469