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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 6

On m-quasi class A(k∗) and absolute-(k∗,m)-paranormal operators

Ilma HOXHA
Naim L. BRAHA
Kotaro TANAHASHİ
Sayfa
1564–1577
Yayın Tarihi
2022-10-18
DOI
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Also, we consider the tensor product of m-quasi class A(k∗) operators.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce a new class of operators, called m-quasi class A(k∗) operators, which is a superclass of hyponormal operators and a subclass of absolute-(k∗,m)-paranormal operators.
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Temel Bulgular & Veri:We show that if T is m-quasi class A(k∗), then σnp(T) {0} = σp(T) {0}, σna(T) {0} = σa(T) {0} and T − µ has nite ascent for all µ ∈C.
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Sonuç & Katkı:Also, we consider the tensor product of m-quasi class A(k∗) operators.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we introduce a new class of operators, called m-quasi class A(k∗) operators, which is a superclass of hyponormal operators and a subclass of absolute-(k∗,m)-paranormal operators. We will show basic structural properties and some spectral properties of this class of operators. We show that if T is m-quasi class A(k∗), then σnp(T) {0} = σp(T) {0}, σna(T) {0} = σa(T) {0} and T − µ has nite ascent for all µ ∈C. Also, we consider the tensor product of m-quasi class A(k∗) operators.

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Bu Makaleye Atıf Yap

HOXHA, I., BRAHA, N. L., TANAHASHİ, K. (2022). On m-quasi class A(k∗) and absolute-(k∗,m)-paranormal operators. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 6, 1564–1577. https://ajindex.com/articles/529869

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Kaynakça (15)

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