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Reflexivity for a class of subspace lattices

Published online by Cambridge University Press:  24 October 2008

E. G. Katsoulis
E. G. Katsoulis
Affiliation:
Department of Mathematics, East Carolina University, Greenville NC 27858, U.S.A
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Abstract

The complete lattice generated by a totally atomic CSL ℒ and the projection lattice of a von Neumann algebra ℛ, commuting with ℒ, is reflexive. From this it follows that the strongly closed lattice generated by any CSL ℒ and the projection lattice of a properly infinite von Neumann algebra ℛ, commuting with ℒ, is reflexive.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 1 , January 1996 , pp. 67 - 71
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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