The asymptotic behavior of \(\epsilon\)-entropy of a compact positive operator

DOI10.1016/0022-247X(90)90276-LzbMath0732.47025MaRDI QIDQ808408

Shigeo Akashi

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

convolution operator\(\epsilon \) -entropypositive compact operator in a Hilbert space

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (4)

An application of operator-theoretic entropy to the classification of convolution operators ⋮ Application of chaos degree to some dynamical systems ⋮ \(p\)-nuclearity in a new perspective ⋮ Compactification of the stationary channel space.

Cites Work

• Unnamed Item
• Some aspects of quantum information theory and their applications to irreversible processes
• The \(\epsilon\)-entropy and \(\epsilon\)-capacity of certain time-varying channels
• The \(\epsilon\)-entropy and \(\epsilon\)-capacity of certain time-invariant channels
• On a Similarity Invariant for Compact Operators

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