A property of compact operators in the space of integrable functions.(English. Russian original)Zbl 0492.47018

Ukr. Math. J. 33, 374-376 (1982); translation from Ukr. Mat. Zh. 33, 491-492 (1981).

MSC:

 47B38 Linear operators on function spaces (general) 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $$s$$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

compact operator
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References:

 [1] I. K. Daugavet, ?On a property of complete continuous operators in the space C,? Usp. Mat. Nauk,18, No. 5, 157-158 (1963). · Zbl 0138.38603 [2] S. B. Stechkin, ?On the approximation of periodic continuous functions by Faverd sums,? Tr. Mat. Inst. Akad. Nauk SSSR,109, 27-34 (1971). [3] V. T. Gavrilyuk, ?Approximation of periodic continuous functions by trigonometric polynomials,? in: Theory of Functions and Its Applications [in Russian], Kiev (1974), pp. 41-60. [4] V. T. Gavrilyuk, Approximation of Periodic Continuous Functions by Trigonometric Polynomials [in Russian], Nauka, Moscow (1977), pp. 101-103. · Zbl 0491.42006
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