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Weighted shifts and commuting normal extension

Part of: General theory of linear operators Special classes of linear operators

Published online by Cambridge University Press:  09 April 2009

Arthur Lubin
Arthur Lubin
Affiliation:
Mathematics DepartmentIllinois Institute of TechnologyChicago, Illinois 60616, U.S.A.
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Abstract

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The main result of this paper shows that the existence of commuting normal extension (c.n.e.) for an arbitrary family of commuting subnormal operators can be determined by considering appropriate families of multivariable weighted shifts. In proving this some known criteria for c.n.e. are generalized. It is also shown that a family of jointly quasi-normal operators has c.n.e.

MSC classification

Secondary: 47B20: Subnormal operators, hyponormal operators, etc. 47A20: Dilations, extensions, compressions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1979 , pp. 17 - 26
Copyright
Copyright © Australian Mathematical Society 1979

References

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