Spectra and fine spectra for the upper triangular band matrix U(a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) over the sequence space c 0

Abstract The aim of this paper is to obtain the spectrum, fine spectrum, approximate point spectrum, defect spectrum and compression spectrum of the operator on the sequence space c0 where b0, b1 , b2 are nonrzero and the nonzero diagonals are the entries of an oscillatory sequence.

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Detalles Bibliográficos
Autores principales: Durna,Nuh, Kilic,Rabia
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100145
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Descripción
Sumario:Abstract The aim of this paper is to obtain the spectrum, fine spectrum, approximate point spectrum, defect spectrum and compression spectrum of the operator on the sequence space c0 where b0, b1 , b2 are nonrzero and the nonzero diagonals are the entries of an oscillatory sequence.