• S.Parvatham
• D.Senthilkumar

An operator T∈B(H) is of n-class Q if for every positive integer n, T satisfies T^(*1+n)¬¬T^(1+n)-(1+n) T^* T + nI ≥0. When n=1, it is of class Q operator. Every n- paranormal operator is of n-class Q, but n-class Q operators are not necessarily normaloid. In this paper the characterization of n-class Q and n-class Q^* composition and weighted composition operators on L^2 (λ) and H^2 (β) are obtained. Also we characterize the n-class Q and n-class Q^* composite multiplication operator on L¬^2 space and Aluthge transformation of these class of operators are obtained.

n Class Q operators, Aluthge Transformation, Composition operators.

"ALUTHGE TRANSFORMATION OF n-CLASS Q AND n-CLASS Q^* OPERATORS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.467-478, June 2019, Available :http://www.jetir.org/papers/JETIR1907A94.pdf

"ALUTHGE TRANSFORMATION OF n-CLASS Q AND n-CLASS Q^* OPERATORS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp467-478, June 2019, Available at : http://www.jetir.org/papers/JETIR1907A94.pdf