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SOME PROPERTIES OF CLASS A(k) OPERATORS AND THEIR HYPONORMAL TRANSFORMS

Published online by Cambridge University Press:  01 January 2007

J. STELLA IRENE MARY  and
S. PANAYAPPAN
J. STELLA IRENE MARY
Affiliation:
Department of Mathematics, PSG college of Arts and Science, Coimbatore-641014, India e-mail: stellairenemary@yahoo.co.instellairenemary@gmail.com
S. PANAYAPPAN
Affiliation:
Department of Mathematics, Goverment Arts collegeCoimbatore-641018, India e-mail: panayappan@gmail.com
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Abstract.

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In this paper we shall first show that if T is a class A(k) operator then its operator transform is hyponormal. Secondly we prove some spectral properties of T via . Finally we show that T has property (β).

Keywords

47A1047A63
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 1 , January 2007 , pp. 133 - 143
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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