Hilbert B(H)-modules and stationary processes

DOI10.2996/kmj/1138036115zbMath0435.60033OpenAlexW2018835696MaRDI QIDQ1140354

Masanao Ozawa

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036115

zbMATH Keywords

locally compact groupsHilbert B(H)-modulesn-positive linear mapsoperator valued positive definite functions

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) General theory of (C^*)-algebras (46L05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Positive definite functions on groups, semigroups, etc. (43A35) Foundations of stochastic processes (60G05)

Related Items (7)

Series representations and Karhunen processes ⋮ On a Hilbert module over an operator algebra and its application to harmonic analysis ⋮ Gramian Schauder basic measures and Gramian uniformly bounded linearly stationary processes ⋮ A note on harmonizable and V-bounded processes ⋮ Modular bases in a Hilbert $A$-module ⋮ A generalization of Wigner’s unitary–antiunitary theorem to Hilbert modules ⋮ Strongly and weakly harmonizable stochastic processes of H-valued random variables

Cites Work

• Positive definite function and direct product Hilbert space
• Banach space-valued random variables and tensor products of Banach spaces
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Inner Product Modules Over B ∗ -Algebras
• Positive Functions on C ∗ -Algebras
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