The range of the gradient of a Lipschitz C.sup.1-smooth bump in infinite dimensions.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F02%3A05030094" target="_blank" >RIV/67985840:_____/02:05030094 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The range of the gradient of a Lipschitz C.sup.1-smooth bump in infinite dimensions.
Original language description
If a Banach space has a continuously differentiable bump function, then it admits other bumps of the same smoothness whose gradients exactly fill the dual unit ball and other reasonable figures. This strengthens a result of Azagra andDeville who were able to cover the dual unit ball.
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
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Israel Journal of Mathematics
ISSN
0021-2172
e-ISSN
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Volume of the periodical
132
Issue of the periodical within the volume
N/A
Country of publishing house
IL - THE STATE OF ISRAEL
Number of pages
13
Pages from-to
239-251
UT code for WoS article
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EID of the result in the Scopus database
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