ON QUANTITATIVE SCHUR AND DUNFORD-PETTIS PROPERTIES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314321" target="_blank" >RIV/00216208:11320/15:10314321 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/S0004972715000076" target="_blank" >http://dx.doi.org/10.1017/S0004972715000076</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0004972715000076" target="_blank" >10.1017/S0004972715000076</a>

Result language
angličtina
Original language name
ON QUANTITATIVE SCHUR AND DUNFORD-PETTIS PROPERTIES
Original language description
We show that the dual to any subspace of c(0)(Gamma) (Gamma is an arbitrary index set) has the strongest possible quantitative version of the Schur property. Further, we establish a relationship between the quantitative Schur property and quantitative versions of the Dunford-Pettis property. Finally, we apply these results to show, in particular, that any subspace of the space of compact operators on l(p) (1 < p < infinity) with the Dunford-Pettis property automatically satisfies both its quantitative versions.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)