On the fine spectrum of triangular triple-band matrix over sequence spaces $c$ and $\ell_{p}$, $(0<p<1)$

Ali Karaisa; Yasin Asar; Durhasan Turgut Tollu

Vol. 21 No. 1 (2016)

Regular Articles

On the fine spectrum of triangular triple-band matrix over sequence spaces $c$ and $\ell_{p}$, $(0<p<1)$

Published 2015-12-28

Ali Karaisa
Yasin Asar
Durhasan Turgut Tollu

Ali Karaisa
Necmettin Erbakan University

Yasin Asar
Necmettin Erbakan University

Durhasan Turgut Tollu

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Abstract

The purpose of this study is to determine the fine spectra of the operator for which the corresponding lower and upper triangular matrices $A(r,s,t)$ and $B(r,s,t)$ are on the sequence spaces $c$ and $\ell_{p}$, where $(0<p<1)$, respectively. Further, we obtain the approximate point spectrum, defect spectrum and compression spectrum on these spaces. Furthermore, we give the graphical representations of the spectrum of the triangular triple-band matrix over the sequence spaces $c$ and $\ell_{p}$.

Keywords

Spectrum of an operator, triple band matrix, spectral

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