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The Tensor Product Formula for Reflexive Subspace Lattices

Published online by Cambridge University Press:  20 November 2018

K. J. Harrison
K. J. Harrison*
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, Australia, e-mail: harrison@prodigal.murdoch.edu.au
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Abstract

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We give a characterisation of where and are subspace lattices with commutative and either completely distributive or complemented. We use it to show that Lat is a CSL algebra with a completely distributive or complemented lattice and is any operator algebra.

Keywords

47A15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 3 , 01 September 1995 , pp. 308 - 316
Copyright
Copyright © Canadian Mathematical Society 1995

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