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Quasi-similarity orbit of a subclass of compact operators on a Hilbert space

Published online by Cambridge University Press:  17 April 2009

N.N. Chourasia
N.N. Chourasia
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar - 388120, Gujarat, India.
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Abstract

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In this note we study certain properties of quasi-similarity orbit of a subclass of compact operators defined on a separable Hilbert space. This class and its quasi-similarity orbit were introduced and studied by Fialkow in Pacific J. Math. 70 (1977), 151–161.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 1 , August 1980 , pp. 85 - 98
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Chourasia, Nilima N. and Oberai, Kirti K., “On Weyl's theorem”, submitted.Google Scholar
[2]Colojoară, Ion and Foiaş, Ciprian, Theory of generalized spectral operators (Gordon and Breach, New York, London, Paris, 1968).Google Scholar
[3]Dunford, Nelson and Schwartz, Jacob T., Linear operators. Part I: General theory (Pure and Applied Mathematics, 7. Interscience, New York, London, 1958).Google Scholar
[4]Dunford, Nelson and Schwartz, Jacob T., Linear operators. PartIII: Spectral operators (Pure and Applied Mathematics, 7. Wiley-Interscience [John Wiley & Sons], New York, London, Sydney, 1971).Google Scholar
[5]Fialkow, Laurence, “A note on quasisimilarity II”, Pacific J. Math. 70 (1977), 151–162.CrossRefGoogle Scholar
[6]Rudin, Walter, Functional analysis (Tata McGraw-Hill, New Delhi, 1974).Google Scholar