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 |
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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: | 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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