@article{SAF_1973-1974____A22_0,
author = {Ovsepian, R. I. and Pe{\l}czy\'nski, A.},
title = {The existence in every separable {Banach} space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$},
journal = {S\'eminaire Maurey-Schwartz},
note = {talk:20},
pages = {1--15},
year = {1973-1974},
publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
zbl = {0302.46008},
language = {en},
url = {https://www.numdam.org/item/SAF_1973-1974____A22_0/}
}
TY - JOUR AU - Ovsepian, R. I. AU - Pełczyński, A. TI - The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$ JO - Séminaire Maurey-Schwartz N1 - talk:20 PY - 1973-1974 SP - 1 EP - 15 PB - Ecole Polytechnique, Centre de Mathématiques UR - https://www.numdam.org/item/SAF_1973-1974____A22_0/ LA - en ID - SAF_1973-1974____A22_0 ER -
%0 Journal Article %A Ovsepian, R. I. %A Pełczyński, A. %T The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$ %J Séminaire Maurey-Schwartz %Z talk:20 %D 1973-1974 %P 1-15 %I Ecole Polytechnique, Centre de Mathématiques %U https://www.numdam.org/item/SAF_1973-1974____A22_0/ %G en %F SAF_1973-1974____A22_0
Ovsepian, R. I.; Pełczyński, A. The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$. Séminaire Maurey-Schwartz (1973-1974), Exposé no. 20, 15 p.. https://www.numdam.org/item/SAF_1973-1974____A22_0/
[1] : Théorie des opérations linéaires, Monografie Mat., Warszawa 1932. | Zbl | JFM
[2] und: Zur Theorie der linearen Dimension, Studia Math. 4 (1933), 100 - 112. | Zbl
[3] : On the basis problem in normed linear spaces, Proc. Amer. Math. Soc. 13 (1962), 655- 658. | Zbl | MR
[4] and : On the existence of fundamental and total bounded biorthogonal systems in Banach spaces, Studia Math. 45 (1973), 173-179. | Zbl | MR
[5] : On sequences spanning a complex l1 space, to appear. | Zbl
[6] : Lacunar series and independent functions, Usp. Mat. Nauk, 21 (132) (1966), 3 - 82 (Russian). | Zbl | MR
[7] : Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Matem. Sao Paulo 8 (1956), 1 - 79. | Zbl | MR
[8] and : Absolutely summing operators in Lp spaces and their applications, Studia Math. 29 (1968), 275-326. | Zbl | EuDML
[9] : Fourier series of continuous functions with respect to bounded orthonormal systems, Izv. Akad. Nauk SSSR, Ser. Mat. 30 (1966), 387-432 (Russian). | Zbl | MR
[10] : A note on the paper of I. Singer "Basic sequences and reflexivity of Banach spaces", Studia Math. 21 (1962), 371 -374. | Zbl | MR
[11] und : p-nukleare und p-integrale Abbildungen in Banachräumen, Studia Math. 33 (1969), 19-62. | Zbl | MR
[12] : Absolutely p-summierende Abbildungen in normirten Räumen, Studia Math, 28 (1967), 333 - 353. | Zbl | MR | EuDML
[13] : A characterization of Banach spaces containing l1, Proc. Nat. Acad. Sci. USA to appear. | Zbl
[14] : Incomplete orthogonal families and related question on orthogonal matrices, Michigan J. Math. 11 (1964), 15 - 18. | Zbl | MR
[15] : Über orthogonalen Entwicklungen, Acta Math. Szeged 10 (1943), 206 -253. | Zbl | MR
[16] : On strictly singular and strictly cosingular operators in preparation.





