Operator ideals and the absolute convergence of Fourier series

Author:

Fugarolas Manuel1

Affiliation:

1. 1 Universidad de Santiago de Compostela Facultad de Matemáticas, Departamento de Análisis Matemático Campus Universitario Sur 15782 Santiago de Compostela Spain

Abstract

In this paper we give some relationships between the absolutely convergent Fourier series of functions belonging to Besov spaces and their connection with the theory of operator ideals. In this context, we give results in operator ideals associated with generalized approximation numbers, Weyl numbers and entropy numbers.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference14 articles.

1. Sur la convergence absolue des séries trigonométriques;Bernstein S. N.;C.R. Acad. Sci. Paris,1914

2. Bernstein, S. N., Sur la convergence absolue des séries trigonométriques, C.R. Acad. Sci. Paris, 199 (1934), 397–400.

3. Entropy, Compactness and the Approximation of Operators

4. Entropy numbers, s-numbers and eigenvalue problems;Carl B.;J. Funct. Anal.,1981

5. Besov spaces and a trace ideal;Fugarolas M. A.;Acta Math. Hungar.,1999

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