Literature Cited
V. F. Gaposhkin, Absolute Bases in Lp Spaces, Uspekhi Matem. Nauk,13, No. 4, 179–184 (1958).
V. F. Gaposhkin, A Property of Absolute Bases in Lp Space, Uspekhi Matem. Nauk,14, No. 4, 143–148 (1959).
M. A. Krasnosel'skii and Ya. B. Rutitskii, Convex Functions and Orlicz Spaces [in Russian], Fizmatgiz, Moscow (1958).
Yung-Min Chen, Theorems of Asymptotic Approximation, Math. Ann.,140, 360–407 (1960).
S. Kaczmarz and H. Steinhaus, Theory of Orthogonal Series [Russian translation], Fizmatgiz, Moscow (1958).
J. Marcinkiewicz, Some Theorems on Orthogonal Series, Ann. Soc. Polonaise Math.,16, 84–96 (1937).
W. Orlicz, Absolute Convergence in Function Spaces, I. Studia Math.,4, 33–37 (1933).
N. K. Bari, Biorthogonal Systems and Bases in Hilbert Space, Uchenye Zapiski Moskovskogo Gosudarstvennogo Universiteta,4, No. 148, 69–107 (1951).
I. M. Gel'fand, Notes on N. K. Bari's Article, Ibid. 224–225.
V. F. Gaposhkin, The Existence of Absolute Bases in Orlicz Spaces, Funktsional. Analiz i Ego Prilozhen.,1, No. 4 (1967).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 9, No. 2, pp. 280–287, March–April, 1968.
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Gaposhkin, V.F. Absolute bases in Orlicz spaces. Sib Math J 9, 211–217 (1968). https://doi.org/10.1007/BF02204783
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DOI: https://doi.org/10.1007/BF02204783