On operators of Ap and A∗ p class

Abstract

In this paper we study the properties of bounded linear operators namely Ap−class and A ∗ p−class operators that satisfy T ∗T ≤ (T ∗pT p ) 1 p and T T ∗ ≤ (T ∗pT p ) 1 p respectively. We use some known operator inequalities and we show that if T ∈ B(H ) is an Ap−class or an A ∗ p−class operator, then r(T) =k T k . 

Keywords

• A−class operator,operator inequality,Spectral radius

References

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