On three problems from the Scottish Book connected with orthogonal systems
Colloquium Mathematicae (1996)
- Volume: 70, Issue: 2, page 227-234
- ISSN: 0010-1354
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topPlichko, A., and Razenkov, A.. "On three problems from the Scottish Book connected with orthogonal systems." Colloquium Mathematicae 70.2 (1996): 227-234. <http://eudml.org/doc/210408>.
@article{Plichko1996,
author = {Plichko, A., Razenkov, A.},
journal = {Colloquium Mathematicae},
keywords = {non-strong -basis; orthogonal system; conditional basis; -basis},
language = {eng},
number = {2},
pages = {227-234},
title = {On three problems from the Scottish Book connected with orthogonal systems},
url = {http://eudml.org/doc/210408},
volume = {70},
year = {1996},
}
TY - JOUR
AU - Plichko, A.
AU - Razenkov, A.
TI - On three problems from the Scottish Book connected with orthogonal systems
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 2
SP - 227
EP - 234
LA - eng
KW - non-strong -basis; orthogonal system; conditional basis; -basis
UR - http://eudml.org/doc/210408
ER -
References
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- [3] K. S. Kazarian, On some properties of uniformly bounded orthonormal systems, Dokl. Rassh. Zased. Semin. Inst. Prikl. Mat. im. I. N. Vekua (Tbilisi) 3 (1988), no2, 41-44 (in Russian).
- [4] K. S. Kazarian, On a problem of S. Banach from the Scottish Book, Proc. Amer. Math. Soc. 110 (1990), 881-887. Zbl0722.42014
- [5] R. D. Mauldin (ed.), The Scottish Book, Birkhäuser, Boston, 1981. Zbl0485.01013
- [6] A. M. Olevskiĭ, On approximation with the preservation of spectrum, Dokl. Akad. Nauk SSSR 311 (1990), 32-36 (in Russian).
- [7] R. I. Ovsepian and A. Pełczyński, On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in , Studia Math. 54 (1975), 149-159. Zbl0317.46019
- [8] A. N. Plichko, Selection in a Banach space of subspaces with some special properties and some properties of quasicomplements, Funktsional. Anal. i Prilozhen. 15 (1) (1981), 82-83 (in Russian). Zbl0535.46008
- [9] A. M. Plichko and M. M. Popov, Symmetric function spaces on atomless probability spaces, Dissertationes Math. 306 (1990).
- [10] W. H. Ruckle, On the classification of biorthogonal sequences, Canad. J. Math. 26 (1974), 721-733. Zbl0282.46013
- [11] I. Singer, Bases in Banach Spaces, II, Springer, Berlin, 1981.
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