Generalized Drazin-type spectra of Operator matrices

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Generalized Drazin-type spectra of Operator matrices

Abstract: In this paper, we investigate the limit points set of surjective and approximate point spectra of upper triangular operator matrices . We prove that σ*(MC) ∪ W=σ*(𝐴)∪σ*(𝐵) where W is the union of certain holes in &...

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Detalles Bibliográficos
Autores principales:	Tajmouati,A., Abkari,M., Karmouni,M.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:	Surjective spectrum approximate point spectrum generalized Drazin spectrum Single-valued extension property operator matrices.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100119
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

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Sumario:	Abstract: In this paper, we investigate the limit points set of surjective and approximate point spectra of upper triangular operator matrices . We prove that σ(MC) ∪ W=σ(𝐴)∪σ(𝐵) where W is the union of certain holes in σ(MC), which happen to be subsets of σlgD(𝐵) ∩ σrgD(𝐴), σ* ∈ {σlgD, σrgD} are the limit points set of surjective and approximate point spectra. Furthermore, several sufficient conditions for σ* (MC) = σ* (𝐴)∪σ* (𝐵) holds for every C ∈ ℬ(Y,X) are given.