On representative and absolutely representative systems in Banach spaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 3-14
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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.
@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/}
}
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/