An operator theoretical characterization of \(\epsilon\)-entropy in Gaussian processes

DOI10.2996/KMJ/1138037150zbMath0589.94002OpenAlexW2054101992MaRDI QIDQ1074554

Shigeo Akashi

Publication date: 1986

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037150

zbMATH Keywords

Hilbert spacestochastic processescompact operatorsorder of growthepsilon-entropy

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Information theory (general) (94A15)

Related Items (2)

Operator theoretical treatments of \(\epsilon\)-entropy of a Gaussian process per unit time ⋮ Entropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothness

Cites Work

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• The \(\epsilon\)-entropy and \(\epsilon\)-capacity of certain time-varying channels
• General treatment of alphabet-message space and integral representation of entropy
• A functional method for stationary channels
• Theory of transmission of information
• Conditional expectation in an operator algebra. IV. Entropy and information
• A functional method on amount of entropy

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