Fuglede-Putnam Theorem and Quasi-nilpotent part of n-power normal operators

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Published: Jun 30, 2015
DOI: https://doi.org/10.5556/j.tkjm.46.2015.1665
Keywords:
Bishop’s property(β) isoloid Fuglede-Putnam Theorem quasinilpotent part

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Vijayalakshmi P.
Stella Irene Mary J.

Abstract

In this article we show that the following properties hold for $n$-power normal operators $T$:(i) $T$ has the Bishop's property$(\beta)$.(ii) $T$ is isoloid.(iii) $T$ is invariant under tensor product.(iv) $T$ satisfies the Fuglede-Putnam theorem.(v) $T$ is of finite ascent and descent.(vi) The Quasi-nilpotent part of $T$ reduces $T$.

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How to Cite
P., V., & J., S. I. M. (2015). Fuglede-Putnam Theorem and Quasi-nilpotent part of n-power normal operators. Tamkang Journal of Mathematics, 46(2), 151–165. https://doi.org/10.5556/j.tkjm.46.2015.1665
Issue
Vol. 46 No. 2 (2015)
Section
Papers
Author Biographies

Vijayalakshmi P.

Department OfMathematics, P.S.G College Of Arts And Science, Coimbatore, Tamilnadu, India 641014.

Stella Irene Mary J.

Department OfMathematics, P.S.G College Of Arts And Science, Coimbatore, Tamilnadu, India 641014.

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