Covariance operators and von Neumann's theory of measurements

DOI10.2996/KMJ/1138036611zbMath0503.60012OpenAlexW2061552725MaRDI QIDQ1173330

Kenjiro Yanagi

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036611

zbMATH Keywords

Gaussian channelcovariance operatorGaussian measure

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Channel models (including quantum) in information and communication theory (94A40) Stochastic mechanics (including stochastic electrodynamics) (81P20) Probability theory on linear topological spaces (60B11)

Cites Work

• Conditional expectation in an operator algebra. II
• On some properties of Gaussian channels
• Absolute continuity of information channels
• Conditional expectation in an operator algebra
• Capacity of the gaussian channel without feedback
• Conditional expectation in an operator algebra. IV. Entropy and information
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