Bases in the spaces C and L 1
Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980), Exposé no. 23, 8 p. 
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}
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Szarek, S. J. Bases in the spaces $C$ and $L^1$. Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980), Exposé no. 23, 8 p. http://archive.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). | MR | Zbl

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

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

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

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

[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. | Numdam | Zbl

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

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

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