(I)-envelopes of unit balls and James' characterization of reflexivity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F07%3A00004440" target="_blank" >RIV/00216208:11320/07:00004440 - 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
(I)-envelopes of unit balls and James' characterization of reflexivity
Original language description
We study the (I)-envelopes of the unit balls of Banach spaces. We show, in particular, that any nonreflexive space can be renormed such that the (I)-envelope of the unit ball is not the whole bidual unit ball. Further, we give a simpler proof of the James' characterization of reflexivity in nonseparable case. We also study the spaces in which the (I)-envelope of the unit ball adds nothing.
Czech name
(I)-obálky jednotkových koulí a Jamesova charakterizace reflexivity
Czech description
Studujeme (I)-obálky jednotkových koulí v Banachových prostorech s ohledem na extrémní případy (kdy (I)-obálka je celá biduální koule a kdy nepřidá nic). Také uvádíme jednodušší důkaz Jamesovy charakterizace reflexivity.
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/GA201%2F06%2F0018" target="_blank" >GA201/06/0018: Topological structures in functional analysis</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
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
182
Issue of the periodical within the volume
1
Country of publishing house
PL - POLAND
Number of pages
12
Pages from-to
29-40
UT code for WoS article
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EID of the result in the Scopus database
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