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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.38 no.1 Antofagasta Mar. 2019

http://dx.doi.org/10.4067/S0716-09172019000100145 

Articles

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

Nuh Durna1 

Rabia Kilic2 

1 Cumhuriyet Universitiy, Faculty of Science, Department of Mathematics, 58140 Sivas, Turkey, e-mail : ndurna@cumhuriyet.edu.tr

2 Cumhuriyet Universitiy, Faculty of Science, Department of Mathematics, 58140 Sivas, Turkey e-mail : 201592171420@cumhuriyet.edu.tr

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.

Keywords : upper triangular band matrix; spectrum; fine spectrum; approximate point spectrum; defect spectrum; compression spectrum

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Received: April 2018; Accepted: May 2018

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