Representations and extremal properties of averaging operators and their applications to information shannels

DOI10.1016/0022-247X(69)90212-1zbMath0255.47012MaRDI QIDQ2558649

Hisaharu Umegaki

Publication date: 1969

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

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Measure-preserving transformations (28D05) Banach algebras of continuous functions, function algebras (46J10) Ergodic theory of linear operators (47A35) Information theory (general) (94A15) Linear operators in ({}^*)-algebras (47C10)

Related Items (12)

On mathematical information channels with a non-commutative intermediate system ⋮ Measure-theoretic construction for information theory ⋮ A non-ergodic compound source with a mixing input source and an Adler ergodic channel ⋮ Quantum ergodic channels in operator algebras ⋮ Some aspects of quantum information theory and their applications to irreversible processes ⋮ Ergodicity of asymptotically mean stationary channels ⋮ Continuity of entropy and mutual entropy in C*-dynamical systems ⋮ Absolute continuity of information channels ⋮ Conditional measures and operators ⋮ Ergodic decomposition of a stationary channel operator ⋮ Optimal measurement for general quantum systems ⋮ Entropy transmission in \(C^*\)-dynamical systems

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