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Lifting the Commutant of a Subnormal Operator

Published online by Cambridge University Press:  20 November 2018

Robert F. Olin  and
James E. Thomson
Robert F. Olin
Affiliation:
Virginia Polytechnic Institute and State University, Blacksburg, Virginia
James E. Thomson
Affiliation:
Virginia Polytechnic Institute and State University, Blacksburg, Virginia
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Let S be a subnormal operator on a Hilbert space ℋ and let N be its minimal normal extension on the Hilbert space ℋ. (We refer the reader to [5, 15] for the basic material on subnormal operators.) Denote the commutant and double commutant of an operator T by ﹛T﹜’ and ﹛T﹜”, respectively.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 31 , Issue 1 , 01 February 1979 , pp. 148 - 156
Copyright
Copyright © Canadian Mathematical Society 1979

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