Abstract
The present article is a continuation of the work done by Birbonshi and Srivastava (Complex Anal Oper Theory 11:739–753, 2017) where the authors obtained the spectrum and fine spectrum of banded triangular matrices such that the entries of each band are constant. In this article, we consider the same problem for triangular band matrices such that each band is a convergent sequence. These kind of matrix can be expressed as a compact perturbation of banded Toeplitz matrices. In this connection, a result regarding the location of the roots of a polynomial with respect to the unit circle is obtained. Some results on the compactnees of the operator are also derived. Finally, suitable examples are given in support of our results.
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Communicated by Bernd Kirstein.
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Patra, A., Birbonshi, R. & Srivastava, P.D. On Some Study of the Fine Spectra of Triangular Band Matrices. Complex Anal. Oper. Theory 13, 615–635 (2019). https://doi.org/10.1007/s11785-017-0739-4
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DOI: https://doi.org/10.1007/s11785-017-0739-4