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

Ali Karaisa, Yasin Asar, Durhasan Turgut Tollu


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  $\ell_{p}$.


Spectrum of an operator; triple band matrix; spectral

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ISSN: 1331-0623 (Print), 1848-8013 (Online)