Quantitative Dunford-Pettis property
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10173726" target="_blank" >RIV/00216208:11320/13:10173726 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aim.2012.10.019" target="_blank" >http://dx.doi.org/10.1016/j.aim.2012.10.019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2012.10.019" target="_blank" >10.1016/j.aim.2012.10.019</a>
Alternative languages
Result language
angličtina
Original language name
Quantitative Dunford-Pettis property
Original language description
We investigate possible quantifications of the Dunford-Pettis property. We show, in particular, that the Dunford-Pettis property is automatically quantitative in a sense. Further, there are two incomparable mutually dual stronger versions of a quantitative Dunford-Pettis property. We prove that L-1 spaces and C(K) spaces possess both of them. We also show that several natural measures of weak non-compactness are equal in L-1 spaces.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Mathematics
ISSN
0001-8708
e-ISSN
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Volume of the periodical
234
Issue of the periodical within the volume
15.2.2013
Country of publishing house
US - UNITED STATES
Number of pages
40
Pages from-to
488-527
UT code for WoS article
000313405200013
EID of the result in the Scopus database
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