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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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 .
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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 .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:A−class operator · operator inequality · Spectral radius
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 .
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Cite This Article
Eskandari, R., Mirzapour, F., Rahmatan, H. (2014). On operators of Ap and A∗ p class. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 5. https://ajindex.com/articles/1403365