Aluthge Transformation of (n,k) Quasi Class Q and (n,k) Quasi Class Q^* Operators
In this paper, a new class of operators called (n,k) quasi class Q and (n,k) quasi class Q^* operators are introduced and studied some properties. (n,k) Quasi class Q and (n,k) quasi class Q^* composition and weighted composition operators on L^2 (λ) and H^2 (β) are characterized. Also we discuss (n,k) quasi class Q and (n,k) quasi class Q^* composite multiplication operator on L^2 space and Aluthge transformation of these class of operators are obtained.
Keywords- Class Q operators, class Q^* operators, composition operators, weighted composition operators, Aluthge transformation.
Cite this Article
S.Parvatham,  D.Senthilkumar,   "Aluthge Transformation of (n,k) Quasi Class Q and (n,k) Quasi Class Q^* Operators"
, International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.7, Issue 3, pp.647-662, September 2019, Available at :http://www.ijedr.org/papers/IJEDR1903114.pdf