Fine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space () | Zendy

Ali Karaisa | Zendy; Feyzı Başar | Zendy

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

Author(s) -

Ali Karaisa,

Feyzı Başar

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/342682

Subject(s) - mathematics , spectrum (functional analysis) , sequence space , sequence (biology) , operator (biology) , space (punctuation) , spectral line , operator matrix , point (geometry) , matrix (chemical analysis) , triangular matrix , combinatorics , mathematical analysis , geometry , pure mathematics , physics , chemistry , quantum mechanics , banach space , computer science , biochemistry , repressor , chromatography , transcription factor , invertible matrix , gene , operating system

The fine spectra of lower triangular triple-band matrices have been examined byseveral 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

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