This is a preview of subscription content, log in via an institution to check access.
References
A. M. Olevskii “On a certain orthonormal system and its applications,” Mat. Sb.,71 (113), No. 3, 297–336 (1966).
S. G. Krein, Yu. I. Petunin, and E. M. Semenov, Interpolation of Linear Operators, Am. Math. Soc., Providence (1982).
A. P. Calderón, “Spaces between L1 and L∞ and the theorem of Marcinkiewicz,” Stud. Math.,26, 273–299 (1966).
B. S. Mityagin, “An interpolation theorem for modular spaces,” Mat. Sb.,66 (108), 473–482 (1965).
K. S. Kazaryan, “Some questions of the theory of orthogonal series,” Mat. Sb.,119 (161), No. 2, 278–294 (1982).
R. E. Zink, “An orthonormal basis for C[0, 1] that is not an unconditional basis for Lp[0, 1], 1<p ≠ 2,” Proc. Am. Math. Soc.,97, No. 1, 33–37 (1986).
K. S. Kazaryan and S. A. Sargsyan, “On a complete orthonormal system of continuous functions,” Dokl. Akad. Nauk Arm. SSR,83, No. 5, 198–201 (1987).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 54, No. 3, pp. 155–156, September, 1993.
Rights and permissions
About this article
Cite this article
Semenov, E.M. Basis properties of the Olevskii system. Math Notes 54, 977–978 (1993). https://doi.org/10.1007/BF01209565
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01209565