On operators of Ap and A∗ p class

Authors : R. ESKANDARİ, F. MİRZAPOUR, H. RAHMATAN

Pages : 741-746

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Publication Date : 2014-10-01

Article Type : Research Paper

Abstract :In this paper we study the properties of bounded linear operators namely Ap−class and A ∗ p−class operators that satisfy T ∗T ≤ insert ignore into journalissuearticles values(T ∗pT p ); 1 p and T T ∗ ≤ insert ignore into journalissuearticles values(T ∗pT p ); 1 p respectively. We use some known operator inequalities and we show that if T ∈ Binsert ignore into journalissuearticles values(H ); is an Ap−class or an A ∗ p−class operator, then rinsert ignore into journalissuearticles values(T); =k T k . 
Keywords : A class operator, operator inequality, Spectral radius