Annals of Functional Analysis

On cluster systems of tensor product systems of Hilbert spaces

Mithun Mukherjee

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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.

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

First available in Project Euclid: 1 July 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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)

$E_0$-semigroup product system completely positive semigroup


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.

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