Quantification of the Banach-Saks property

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314324" target="_blank" >RIV/00216208:11320/15:10314324 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jfa.2014.12.003" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2014.12.003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2014.12.003" target="_blank" >10.1016/j.jfa.2014.12.003</a>

Result language
angličtina
Original language name
Quantification of the Banach-Saks property
Original language description
We investigate possible quantifications of the Banach-Saks property and the weak Banach-Saks property. We prove quantitative versions of relationships of the Banach-Saks property of a set with norm compactness and weak compactness. We further establish aquantitative version of the characterization of the weak Banach-Saks property of a set using uniform weak convergence and l(1)-spreading models. We also study the case of the unit ball and in this case we prove a dichotomy which is an analogue of the James distortion theorem for l(1)-spreading models.
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)