On uniformly differentiable mappings from $ell_{infty}(Gamma)$

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00458238" target="_blank" >RIV/67985840:_____/16:00458238 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.02.043" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2016.02.043</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.02.043" target="_blank" >10.1016/j.jmaa.2016.02.043</a>

Jazyk výsledku
angličtina
Název v původním jazyce
On uniformly differentiable mappings from $ell_{infty}(Gamma)$
Popis výsledku v původním jazyce
In 1970 Haskell Rosenthal proved that if X is a Banach space, ... is an infinite index set, and ... is a bounded linear operator such that infγ ... then T acts as an isomorphism on ..., for some ... of the same cardinality as ... Our main result is a nonlinear strengthening of this theorem. More precisely, under the assumption of GCH and the regularity of ..., we show that if ... is uniformly differentiable and such that infγ ... then there exists ... such that ... is a bounded linear operator which acts as an isomorphism on ..., for some ... of the same cardinality as ...
Název v anglickém jazyce
On uniformly differentiable mappings from $ell_{infty}(Gamma)$
Popis výsledku anglicky
In 1970 Haskell Rosenthal proved that if X is a Banach space, ... is an infinite index set, and ... is a bounded linear operator such that infγ ... then T acts as an isomorphism on ..., for some ... of the same cardinality as ... Our main result is a nonlinear strengthening of this theorem. More precisely, under the assumption of GCH and the regularity of ..., we show that if ... is uniformly differentiable and such that infγ ... then there exists ... such that ... is a bounded linear operator which acts as an isomorphism on ..., for some ... of the same cardinality as ...

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
—

Projekt
<a href="/cs/project/GA16-07378S" target="_blank" >GA16-07378S: Nelineární analýza v Banachových prostorech</a><br>
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2016
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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