An application of operator-theoretic entropy to the classification of convolution operators

DOI10.1016/0034-4877(96)83619-6zbMath0882.47009OpenAlexW2060799199MaRDI QIDQ1372468

Shigeo Akashi

Publication date: 13 November 1997

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)83619-6

zbMATH Keywords

convex conespectral density functionsBaire's category-theoretic classificationoperator-theoretic entropy dimensionpositive convolution operatorstrace class of compact positive operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Linear operators on function spaces (general) (47B38) Structure theory of linear operators (47A65)

Cites Work

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• The asymptotic behavior of \(\epsilon\)-entropy of a compact positive operator
• The \(\epsilon\)-entropy and \(\epsilon\)-capacity of certain time-invariant channels
• Restrictions of Fourier transforms and extension of Fourier sequences

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