IJPAM: Volume 106, No. 8 (2016)

ALUTHGE TRANSFORMATION OF N-CLASS $A_{k}$ OPERATORS

D. Senthilkumar$^1$, R. Murugan$^2$
$^{1,2}$Department of Mathematics
Government Arts College (Autonomous)
Coimbatore-641 018, India


Abstract. In this paper a new class of an operator N-class $A_{k}$ is defined and sum of its properties are discussed. And also we proved Aluthge transformation and $*$-Aluthge transformation of N-class$A_{k}$ operators on Hilbert spaces.

Received: February 15, 2016

AMS Subject Classification: 47A63, 47B37

Key Words and Phrases: aluthge transformation, $*$-aluthge transformation, N-class $A_{k}$ operators

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DOI: 10.12732/ijpam.v106i8.5 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: 27 - 31


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