Perturbation Theory for Property (VE) and Tensor Product

Aponte, Elvis; Sanabria, José; Vásquez, Luis

doi:10.3390/math9212775

Cited by 2 publications

(2 citation statements)

References 28 publications

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“…Then, Duggal [19], Rashid [20] and Rashid and Prasad [21] continued these studies with Weyl and Browder type theorems. In addition, recently in [22,23] we can see a strong study linked to the tensor product of two operators.…”

Section: σ(T) = a σ (T)mentioning

confidence: 99%

“…This has been studied through the methods of the local spectral theory, through localized SV E P, under a proper closed subspace of X and also under some topological conditions and others. So, it has a lot of influence on the development of the spectral theory because the class of operators satisfying the property (Bv) is stronger than the class of operators satisfying other properties, such as those seen in [10,22,25].…”

Section: σ(T) = a σ (T)mentioning

confidence: 99%

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Property (Bv) and Tensor Product

Aponte

Vasanthakumar²,

Jayanthi³

2022

Symmetry

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In this article, a-Browder’s classical theorem is considered through the property (Bv), and we show that if two operators are norm equivalent, then property (Bv) holds for one if and only if it holds for the other. The necessary conditions for the difference of the spectrum and essential approximate point spectrum of the tensor product of two operators coincide with the product of differences between the spectrum and the essential approximate point spectrum of its two factors are investigated. We also discuss the necessary conditions for the tensor product of two operators to verify the property (Bv) and simultaneously give the equivalence between their various spectra with their Browder spectrum, likewise with the Drazin spectrum.

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Section: σ(T) = a σ (T)mentioning

confidence: 99%

Section: σ(T) = a σ (T)mentioning

confidence: 99%

Property (Bv) and Tensor Product

Aponte

Vasanthakumar²,

Jayanthi³

2022

Symmetry

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B-Fredholm elements in primitive C*-algebras

Kong

Jiang

2022

Open Mathematics

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Let A {\mathcal{A}} be a unital primitive C ∗ \ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A {\mathcal{A}} . Particularly, this article describes the B-Fredholm element as the sum of a Fredholm element and a nilpotent element. In addition, the socle of A {\mathcal{A}} is characterized by the B-Fredholm elements.

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Perturbation Theory for Property (VE) and Tensor Product

Cited by 2 publications

References 28 publications

Property (Bv) and Tensor Product

Property (Bv) and Tensor Product

B-Fredholm elements in primitive C*-algebras

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