Annals of Functional Analysis

On cluster systems of tensor product systems of Hilbert spaces

Mithun Mukherjee

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Abstract

It is known that the spatial product of two product systems is intrinsic. Here we extend this result by analyzing subsystems of the tensor product of product systems. A relation with cluster systems as introduced by B.V.R. Bhat, M. Lindsay and M. Mukherjee, is established.

Article information

Source
Ann. Funct. Anal., Volume 6, Number 4 (2015), 172-178.

Dates
First available in Project Euclid: 1 July 2015

Permanent link to this document
https://projecteuclid.org/euclid.afa/1435764009

Digital Object Identifier
doi:10.15352/afa/06-4-172

Mathematical Reviews number (MathSciNet)
MR3365989

Zentralblatt MATH identifier
1339.46065

Subjects
Primary: 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
Secondary: 46C05: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)

Keywords
$E_0$-semigroup product system completely positive semigroup

Citation

Mukherjee, Mithun. On cluster systems of tensor product systems of Hilbert spaces. Ann. Funct. Anal. 6 (2015), no. 4, 172--178. doi:10.15352/afa/06-4-172. https://projecteuclid.org/euclid.afa/1435764009


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References

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