On the fine spectrum of triangular triple-band matrix over sequence spaces $c$ and $\ell_{p}$, $(0
Karaisa, Ali ; Asar, Yasin ; Tollu, Durhasan Turgut
Mathematical Communications, Tome 21 (2016) no. 1, p. 65-83 / Harvested from Mathematical Communications
Text on Mathematical Communications
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  $\ell_{p}$.
Publié le : 2016-03-09
Classification:  Spectrum of an operator; triple band matrix; spectral,  47A10; 47B37 
@article{mc622,
     author = {Karaisa, Ali and Asar, Yasin and Tollu, Durhasan Turgut},
     title = {On the fine spectrum of triangular triple-band matrix over sequence spaces $c$ and $\ell\_{p}$, $(0},
     journal = {Mathematical Communications},
     volume = {21},
     number = {1},
     year = {2016},
     pages = { 65-83},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc622}
}

Karaisa, Ali; Asar, Yasin; Tollu, Durhasan Turgut. On the fine spectrum of triangular triple-band matrix over sequence spaces $c$ and $\ell_{p}$, $(0. Mathematical Communications, Tome 21 (2016) no. 1, pp.  65-83. http://gdmltest.u-ga.fr/item/mc622/