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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
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 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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 .
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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 .
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ESKANDARİ, R., MİRZAPOUR, F., RAHMATAN, H. (2014). On operators of Ap and A∗ p class. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 5, 741–746. https://ajindex.com/articles/669549