IJPAM: Volume 106, No. 8 (2016)

ALUTHGE AND $*$-ALUTHGE TRANSFORMATION OF
POWERS OF N-CLASS $A(K)$ OPERATORS

D. Senthilkumar$^1$, Shylaja S$^2$
$^{1,2}$Government Arts College
Coimbatore


Abstract. In this paper, we introduced and study a new class of operators, we call it powers of N-class $A(k)$ operators. We give a characterization of such an operator and investigate the Aluthge transformation and $*$- Aluthge transformation of such a class of operators and other related results.

Received: February 15, 2016

AMS Subject Classification: 47A63, 47B20

Key Words and Phrases: aluthge transformation, $*$-aluthge transformation, N-class $A(k)$ operators

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DOI: 10.12732/ijpam.v106i8.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 8
Pages: 53 - 58


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