On the fine spectrum of the operator defined by a lambda matrix over the sequence space c0 and c

2012 ◽  
Author(s):  
Medine Yeşilkayagil ◽  
Feyzi Başar
Keyword(s):  
Sequence Space ◽  
Fine Spectrum

scholarly journals Spectrum and fine spectrum of generalized second order forward difference operator Δuvw2 $\Delta _{uvw}^2 $ on sequence space l1

2012 ◽  
Vol 45 (3) ◽  
Author(s):  
B. L. Panigrahi ◽  
P. D. Srivastava
Keyword(s):  
Sequence Space ◽  
Difference Operator ◽  
Second Order ◽  
Fine Spectrum ◽  
Forward Difference

AbstractThe purpose of this paper is to determine spectrum and fine spectrum of newly introduced operator

scholarly journals Fine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space ()

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Ali Karaisa ◽  
Feyzi Başar
Keyword(s):  
Continuous Spectrum ◽  
Sequence Space ◽  
Point Spectrum ◽  
Band Matrices ◽  
Residual Spectrum ◽  
Approximate Point Spectrum ◽  
Fine Spectrum ◽  
The Matrix ◽  
Lower Triangular ◽  
Triple Band

The fine spectra of lower triangular triple-band matrices have been examined by several authors (e.g., Akhmedov (2006), Başar (2007), and Furken et al. (2010)). Here we determine the fine spectra of upper triangular triple-band matrices over the sequence space . The operator on sequence space on is defined by , where , with . In this paper we have obtained the results on the spectrum and point spectrum for the operator on the sequence space . Further, the results on continuous spectrum, residual spectrum, and fine spectrum of the operator on the sequence space are also derived. Additionally, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator over the space and we give some applications.

scholarly journals On the fine spectrum of generalized upper triangular triple-band matrices (Δ2uvw)t over the sequence space l1

Filomat ◽  
2016 ◽  
Vol 30 (5) ◽  
pp. 1363-1373 ◽  
Author(s):  
Selma Altundağ ◽  
Merve Abay
Keyword(s):  
Sequence Space ◽  
Point Spectrum ◽  
Matrix Operator ◽  
Band Matrices ◽  
Approximate Point Spectrum ◽  
Band Matrix ◽  
Fine Spectrum ◽  
The Matrix ◽  
Triple Band

In this work, we determine the fine spectrum of the matrix operator (?2uvw)t which is defined generalized upper triangular triple band matrix on l1. Also, we give the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator (?2uvw)t on l1.

scholarly journals On the fine spectrum of the generalized difference operator $B(r,s)$ over the sequence space $\ell_1$ and $bv$

2006 ◽  
Vol 35 (4) ◽  
pp. 893-904 ◽  
Author(s):  
Hasan FURKAN ◽  
H\"usey\.in B\.ILG\.I\C C ◽  
Kuddus\.i KAYADUMAN
Keyword(s):  
Sequence Space ◽  
Difference Operator ◽  
Fine Spectrum

scholarly journals On the fine spectrum of the operator Δa,b over the sequence space c

2011 ◽  
Vol 61 (10) ◽  
pp. 2994-3002 ◽  
Author(s):  
A.M. Akhmedov ◽  
S.R. El-Shabrawy
Keyword(s):  
Sequence Space ◽  
Fine Spectrum

scholarly journals On the Spectral Properties of the Weighted Mean Difference Operator Gu,v;Δ over the Sequence Space ℓ1

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
P. Baliarsingh ◽  
S. Dutta
Keyword(s):  
Sequence Space ◽  
Difference Operator ◽  
Point Spectrum ◽  
Weighted Mean Difference ◽  
Mean Difference ◽  
Weighted Mean ◽  
Residual Spectrum ◽  
Fine Spectrum ◽  
Special Cases ◽  
The Difference

In the present work the generalized weighted mean difference operator Gu,v;Δ has been introduced by combining the generalized weighted mean and difference operator under certain special cases of sequences u=(uk) and v=(vk). For any two sequences u and v of either constant or strictly decreasing real numbers satisfying certain conditions the difference operator Gu,v;Δ is defined by (G(u,v;Δ)x)k=∑i=0k‍ukvi(xi-xi-1) with xk=0 for all k<0. Furthermore, we compute the spectrum and the fine spectrum of the operator Gu,v;Δ over the sequence space l1. In fact, we determine the spectrum, the point spectrum, the residual spectrum, and the continuous spectrum of this operator on the sequence space l1.

scholarly journals Spectrum and fine spectrum of the Zweier matrix over the sequence space cs

2017 ◽  
Vol 35 (2) ◽  
pp. 209 ◽  
Author(s):  
Rituparna Das
Keyword(s):  
Sequence Space ◽  
Point Spectrum ◽  
Approximate Point Spectrum ◽  
Fine Spectrum ◽  
Further Development

In this article we have determined the spectrum and fine spectrum of the Zweier matrix Z_s on the sequence space cs. In a further development, we have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator Z_s  on the sequence space cs.

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