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Lasser, R.* ; Obermaier, J.

Weighted shift operators, orthogonal polynomials and chain sequences.

Acta Sci. Math. 86, 331-342 (2020)
DOI Verlagsversion bestellen
: Verlagsversion online verfügbar 10/2032
The main purpose of this paper is to use chain sequences to study spectral properties of weighted shift operators A and of tridiagonal operators ReA. 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 ReA. As an example we study orthogonal polynomials defined by a recursion formula with almost constant coefficients.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Chain Sequences ; Jacobi Operators ; Orthogonal Polynomials ; Weighted Shift Operators
ISSN (print) / ISBN 0001-6969
Quellenangaben Band: 86, Heft: 1-2, Seiten: 331-342 Artikelnummer: , Supplement: ,
Verlag Bolyai Institute, University of Szeged
Begutachtungsstatus