Smooth renormings of the Lebesgue-Bochner function space L-1(mu, X)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00380501" target="_blank" >RIV/67985840:_____/12:00380501 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4064/sm209-3-4" target="_blank" >http://dx.doi.org/10.4064/sm209-3-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/sm209-3-4" target="_blank" >10.4064/sm209-3-4</a>
Alternative languages
Result language
angličtina
Original language name
Smooth renormings of the Lebesgue-Bochner function space L-1(mu, X)
Original language description
We show that, if ? is a probability measure and X is a Banach space, then the space L 1 (?,X) of Bochner integrable functions admits an equivalent Gâteaux (or uniformly Gâteaux) smooth norm provided that X has such a norm, and that if X admits an equivalent Fréchet (resp. uniformly Fréchet) smooth norm, then L 1 (?,X) has an equivalent renorming whose restriction to every reflexive subspace is Fréchet (resp. uniformly Fréchet) smooth.
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
<a href="/en/project/GAP201%2F11%2F0345" target="_blank" >GAP201/11/0345: Nonlinear functional analysis</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Studia mathematica
ISSN
0039-3223
e-ISSN
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Volume of the periodical
209
Issue of the periodical within the volume
3
Country of publishing house
PL - POLAND
Number of pages
19
Pages from-to
247-265
UT code for WoS article
000306256200004
EID of the result in the Scopus database
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