Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 6, Number 4 (2015), 172-178.
On cluster systems of tensor product systems of Hilbert spaces
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.
Ann. Funct. Anal., Volume 6, Number 4 (2015), 172-178.
First available in Project Euclid: 1 July 2015
Permanent link to this document
Digital Object Identifier
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)
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