Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 3-14
Citer cet article
R. V. Vershinin. On representative and absolutely representative systems in Banach spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a0/
@article{JMAG_1998_5_1_a0,
author = {R. V. Vershinin},
title = {On representative and absolutely representative systems in {Banach} spaces},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {3--14},
year = {1998},
volume = {5},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a0/}
}
TY - JOUR
AU - R. V. Vershinin
TI - On representative and absolutely representative systems in Banach spaces
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1998
SP - 3
EP - 14
VL - 5
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a0/
LA - ru
ID - JMAG_1998_5_1_a0
ER -
%0 Journal Article
%A R. V. Vershinin
%T On representative and absolutely representative systems in Banach spaces
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1998
%P 3-14
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a0/
%G ru
%F JMAG_1998_5_1_a0
The topological properties of representative systems (RS) and absolutely representative systems (ARS) are studied. An overfilled RS in the Hilbert space is constructed; as a consequence some “overfilled” possibilities of the bases are obtained. The ARS in super-reflexive spaces are described in terms of the speed of expansion convergence.
