On singularity and Lebesgue type decomposition for operator-valued measueres

DOI10.1016/0047-259X(71)90009-1zbMath0218.46040MaRDI QIDQ2546657

Habib Salehi, Vidyadhar Mandrekar

Publication date: 1971

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (10)

On infinite dimensional periodically correlated random fields: spectrum and evolutionary spectra ⋮ Large deviations for spectral measures of some spiked matrices ⋮ Series representations and Karhunen processes ⋮ Sum rules and large deviations for spectral measures on the unit circle ⋮ Sum rules and large deviations for spectral matrix measures ⋮ Operator-valued spectral measures and large deviations ⋮ On infinite dimensional discrete time periodically correlated processes ⋮ Operators as spectral integrals of operator-valued functions from the study of multivariate stationary stochastic processes ⋮ A matrix version of a higher-order Szegő theorem ⋮ Applications of autoreproducing kernel Grammian moduli to \({\mathcal S}(U,H)\)-valued stationary random functions

Cites Work

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• The factorization of operator valued functions
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• Abstract Lebesgue-Radon-Nikodym theorems
• The Hellinger square-integrability of matrix-valued measures with respect to a non-negative hermitian measure
• The decomposition of matrix-valued measures
• Relative self-adjoint operators in Hilbert space
• Equivalences of Measure Spaces

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