scholarly journals On The Fine Spectrum of Generalized Lower Triangular Double Band Matrices Over The Sequence Space

2016 ◽  
Vol 37 (3) ◽  
pp. 281 ◽  
Author(s):  
Nuh DURNA ◽  
Mustafa YILDIRIM ◽  
Çağrı ÜNAL
Keyword(s):  
Sequence Space ◽  
Band Matrices ◽  
Fine Spectrum ◽  
Lower Triangular

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 Fine Spectra of Upper Triangular Double-Band Matrices over the Sequence Space ,

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Ali Karaisa
Keyword(s):  
Sequence Space ◽  
Point Spectrum ◽  
Real Numbers ◽  
Band Matrices ◽  
Approximate Point Spectrum ◽  
Band Matrix ◽  
Fine Spectrum ◽  
The Matrix ◽  
Convergent Sequences

The operator on sequence space on is defined , where , and and are two convergent sequences of nonzero real numbers satisfying certain conditions, where . The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg's classification of the operator defined by a double sequential band matrix over the sequence space . Additionally, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator over the space .

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

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