Bases in the spaces C and L 1
Séminaire d'analyse fonctionnelle (1979-1980), Exposé no. 23, 8 p. 
@article{SAF_1979-1980____A20_0,
     author = {Szarek, S. J.},
     title = {Bases in the spaces $C$ and $L^1$},
     journal = {S\'eminaire d'analyse fonctionnelle},
     note = {talk:23},
     pages = {1--8},
     year = {1979-1980},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     zbl = {0442.46010},
     language = {en},
     url = {https://www.numdam.org/item/SAF_1979-1980____A20_0/}
}
TY  - JOUR
AU  - Szarek, S. J.
TI  - Bases in the spaces $C$ and $L^1$
JO  - Séminaire d'analyse fonctionnelle
N1  - talk:23
PY  - 1979-1980
SP  - 1
EP  - 8
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - https://www.numdam.org/item/SAF_1979-1980____A20_0/
LA  - en
ID  - SAF_1979-1980____A20_0
ER  - 
%0 Journal Article
%A Szarek, S. J.
%T Bases in the spaces $C$ and $L^1$
%J Séminaire d'analyse fonctionnelle
%Z talk:23
%D 1979-1980
%P 1-8
%I Ecole Polytechnique, Centre de Mathématiques
%U https://www.numdam.org/item/SAF_1979-1980____A20_0/
%G en
%F SAF_1979-1980____A20_0
Szarek, S. J. Bases in the spaces $C$ and $L^1$. Séminaire d'analyse fonctionnelle (1979-1980), Exposé no. 23, 8 p.. https://www.numdam.org/item/SAF_1979-1980____A20_0/

[1] S.V. Bočkariev: A Fourier series divergent on a set of positive measure for arbitrary uniformly bounded orthonormal system, Math. Sbor. 98 (140) (1975), 436-449 (Russian). | Zbl | MR

[2] B.S. Kashin: Remarks on Lebesgue functions of orthonormal systems, Math. Sbor. 106 (148) (1978), 380-385 (Russian). | Zbl | MR

[3] A.S. Krantzberg, On systems of convergence in C and bases in L, Math. Zam. 26 (1979), 183-200 (Russian). | Zbl | MR

[4] S. Kwapień, S.J. Szarek: Estimation of Lebesgue functions of biorthogonal systems with application to bases, Studia Math. 66 (2). | Zbl | MR

[5] A.M. Olevskiĭ, Fourier series with respect to general orthogonal systems, Springer-Verlag 1975. | Zbl | MR

[6] A. Pełczyński: On a result of Olevskiĭ: a uniformly bounded orthonormal sequence is not a basis for C[0,1], Séminaire Maurey-Schwartz 1973-74, Exposé No 21. | Zbl | Numdam

[7] I. Singer: Bases in Banach spaces I, Springer-Verlag 1970. | Zbl | MR

[8] S.J. Szarek, Non existence of Besselian basis in C(S), J. Funct. Anal. 36 (1980). | Zbl | MR

[9] S.J. Szarek: Bases and biorthogonal systems in the spaces C and L1, Arkiv f. Matematik 17 (2) (1979), 255-271. | Zbl | MR