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Operator Topologies and Invariant Operator Ranges

Published online by Cambridge University Press:  20 November 2018

Sing-Cheong Ong
Sing-Cheong Ong*
Affiliation:
Dalhousie University Halifax, Nova Scotia
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Abstract

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The invariant operator range lattices of a wide class of uniformly closed algebras (including C*-algebras) are stable under weak closures. There is an algebra whose invariant operator range lattice contains properly the corresponding lattice of its norm closure. An operator range transitive algebra is operator range n -transitive for all n. A normal operator is algebraic if and only if each of its invariant operator ranges is the range of some operator commuting with it.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 181 - 185
Copyright
Copyright © Canadian Mathematical Society 1981

References

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