R. ESKANDARİ, F. MİRZAPOUR, H. RAHMATAN

9792

On operators of Ap and A∗ p class

On operators of Ap and A∗ p class

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,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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