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Ozawa, Masanao

Hilbert B(H)-modules and stationary processes. (English) Zbl 0435.60033

Kodai Math. J. 3, 26-39 (1980).
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Cited in 7 Documents

MSC:

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

Keywords:

Hilbert B(H)-modules; n-positive linear maps; locally compact groups; operator valued positive definite functions
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\textit{M. Ozawa}, Kodai Math. J. 3, 26--39 (1980; Zbl 0435.60033)
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References:

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[5] MASANI, P., Recent trends in multivariate prediction theory, in Krishnaiah, P. R., Multivariate Analysis, Academic Press, New York, 1966. · Zbl 0216.46706
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[8] SAKAI, S., C*-algebras and TF*-algebras, Ergebn. Math. Grenzgeb. Vol. 60 (Springer, Berlin, 1971). · Zbl 0219.46042
[9] SCHATTEN, R., Norm ideals of completely continuous operators, Springer, Berlin, 1960. · Zbl 0090.09402
[10] UMEGAKI, H., Positive definite function and direct product Hilbert space, Tohoku Math. J. 7 (1955), 206-211. · Zbl 0066.36203 · doi:10.2748/tmj/1178245059
[11] UMEGAKI, H. AND BHARUCHA-REID, A. T., Banach space-valued random variables and tensor products of Banach spaces, J. Math. Anal. Appl. 31 (1970), 49-67. · Zbl 0292.60008 · doi:10.1016/0022-247X(70)90119-8
[12] STINESPRING, W. F., Positive functions on C*-algebras, Proc. Amer. Math. Soc. 6 (1955), 211-216. · Zbl 0064.36703 · doi:10.2307/2032342
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