A METRIC INTERPRETATION OF REFLEXIVITY FOR BANACH SPACES
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F17%3A00316126" target="_blank" >RIV/68407700:21230/17:00316126 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1215/00127094-2017-0021" target="_blank" >http://dx.doi.org/10.1215/00127094-2017-0021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1215/00127094-2017-0021" target="_blank" >10.1215/00127094-2017-0021</a>
Alternative languages
Result language
angličtina
Original language name
A METRIC INTERPRETATION OF REFLEXIVITY FOR BANACH SPACES
Original language description
We define two metrics d(1), and d(infinity,alpha), on each Schreier family A, delta(alpha), < omega(1), with which we prove the following metric characterization of the reflexivity of a Banach space X: X is reflexive if and only if there is an alpha < omega(1) such that there is no mapping Phi: delta(alpha) -> X for which
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Duke Mathematical Journal
ISSN
0012-7094
e-ISSN
1547-7398
Volume of the periodical
166
Issue of the periodical within the volume
16
Country of publishing house
US - UNITED STATES
Number of pages
84
Pages from-to
3001-3084
UT code for WoS article
000414670300001
EID of the result in the Scopus database
2-s2.0-85031736980