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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
On uniformly differentiable mappings from $ell_{infty}(Gamma)$
Original language description
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 ...
Czech name
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Czech description
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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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Project
<a href="/en/project/GA16-07378S" target="_blank" >GA16-07378S: Nonlinear analysis in Banach spaces</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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