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Original scientific paper

Spectra and fine spectra of the upper triangular band matrix U(a; 0; b) on the Hahn sequence space

Nuh Durna ; Department of Mathematics, Faculty of Science, Sivas Cumhuriyet University, Turkey


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Abstract

The aim of this paper is to obtain the spectra and fine spectra of the matrix \(U(a;0;b)\) on the Hahn space. Also, we explore some ideas of how to study the problem for a general form of the matrix, namely, the matrix \(U(a_{0},a_{2},…,a_{n-1};0;b_{0},b_{1},…,b_{n-1})\) where the non-zero diagonals are the entries of an oscillatory sequence.

Keywords

upper triangular band matrix; spectrum; fine spectrum; approximate point spectrum

Hrčak ID:

235537

URI

https://hrcak.srce.hr/235537

Publication date:

12.3.2020.

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