ON A DIFFERENCE BETWEEN QUANTITATIVE WEAK SEQUENTIAL COMPLETENESS AND THE QUANTITATIVE SCHUR PROPERTY

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127320" target="_blank" >RIV/00216208:11320/12:10127320 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1090/S0002-9939-2012-11175-X" target="_blank" >http://dx.doi.org/10.1090/S0002-9939-2012-11175-X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/S0002-9939-2012-11175-X" target="_blank" >10.1090/S0002-9939-2012-11175-X</a>

Result language
angličtina
Original language name
ON A DIFFERENCE BETWEEN QUANTITATIVE WEAK SEQUENTIAL COMPLETENESS AND THE QUANTITATIVE SCHUR PROPERTY
Original language description
We study quantitative versions of the Schur property and weak sequential completeness, proceeding with investigations started by G. Godefroy, N. Kalton and D. Li and continued by H. Pfitzner and the authors. We show that the Schur property of l(1) holdsquantitatively in the strongest possible way and construct an example of a Banach space which is quantitatively weakly sequentially complete, has the Schur property, but fails the quantitative form of the Schur property.
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
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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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