Filling analytic sets by the derivatives of C1-smooth bumps
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F05%3A00001277" target="_blank" >RIV/00216208:11320/05:00001277 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/05:00022886
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Filling analytic sets by the derivatives of C1-smooth bumps
Original language description
If X is an infinite-dimensional Banach space, with separable dual, and M is an analytic subset of X* such that any point can be reached from 0 by a continuous path contained (except for the point itself) in the interior of M, then M is the range of the derivative of a C1-smooth function on X with bounded nonempty support.
Czech name
Vyplňování analytických množin derivacemi C1 bumpů
Czech description
Je-li X Banachův prostor se separabilním duálem a M analytická podmnožina X*, jejíž každý bod lze spojit s 0 spojitou křivkou, která je (až na koncový bod) obsažena ve vnitřku M, pak M je obor hodnot derivace C1 funkce na X s omezeným neprázdným nosičem.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the American Mathematical Society
ISSN
0002-9939
e-ISSN
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Volume of the periodical
133
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
295-303
UT code for WoS article
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EID of the result in the Scopus database
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