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2015 On cluster systems of tensor product systems of Hilbert spaces
Mithun Mukherjee
Ann. Funct. Anal. 6(4): 172-178 (2015). DOI: 10.15352/afa/06-4-172

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.

Citation

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Mithun Mukherjee. "On cluster systems of tensor product systems of Hilbert spaces." Ann. Funct. Anal. 6 (4) 172 - 178, 2015. https://doi.org/10.15352/afa/06-4-172

Information

Published: 2015
First available in Project Euclid: 1 July 2015

zbMATH: 1339.46065
MathSciNet: MR3365989
Digital Object Identifier: 10.15352/afa/06-4-172

Subjects:
Primary: 46L55
Secondary: 46C05

Keywords: $E_0$-semigroup , completely positive semigroup , product system

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.6 • No. 4 • 2015
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