Weighted shift operators, orthogonal polynomials and chain sequences

Lasser, Rupert and Obermaier, Josef: Weighted shift operators, orthogonal polynomials and chain sequences. In: Acta scientiarum mathematicarum 86. pp. 331-342. (2020)

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Abstract

The main purpose of this paper is to use chain sequences to study spectral properties of weighted shift operators A and of tridiagonal operators Re A. Characterizations of chain sequences and relations to Haar sequences are derived. We use these results to compare the spectral radius, the numerical radius and the norm of A and Re A. As an example we study orthogonal polynomials defined by a recursion formula with almost constant coefficients.

Item Type: Article
Heading title: Analysis
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2020
Number: 86
ISSN: 2064-8316
Page Range: pp. 331-342
Related URLs: http://acta.bibl.u-szeged.hu/69543/
DOI: https://doi.org/10.14232/actasm-019-152-4
Uncontrolled Keywords: Matematika
Additional Information: Bibliogr.: 342. p. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2020. Jul. 27. 11:19
Last Modified: 2020. Jul. 27. 11:19
URI: http://acta.bibl.u-szeged.hu/id/eprint/69376

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