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WEYL'S THEOREM FOR CLASS A(k) OPERATORS

Published online by Cambridge University Press:  01 January 2008

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@gmail.com
S. PANAYAPPAN
Affiliation:
Department of Mathematics, Government Arts College, Coimbatore-641018, India e-mail: panayappan@gmail.com
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Abstract

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In this paper we shall show that Weyl's theorem holds for class A(k) operators T where k≥>1, via its hyponormal transform $\skew3\hat{T}$. Next we shall prove some applications of Weyl's theorem on class A(k) operators.

Keywords

47A1347A63

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 1 , January 2008 , pp. 39 - 46
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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