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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
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
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
References
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Received: April 2018; Accepted: May 2018