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

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  • Ali Karaisa

Abstract

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 .

Suggested Citation

  • Ali Karaisa, 2012. "Fine Spectra of Upper Triangular Double-Band Matrices over the Sequence Space ," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-19, September.
    • Handle: RePEc:hin:jnddns:381069
    DOI: 10.1155/2012/381069
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