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Free by publisher: Publ. Version/Full Text online available 10/2032
as soon as is submitted to ZB.
Weighted shift operators, orthogonal polynomials and chain sequences.
Acta Sci. Math. 86, 331-342 (2020)
DOI
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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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Chain Sequences ; Jacobi Operators ; Orthogonal Polynomials ; Weighted Shift Operators
ISSN (print) / ISBN
0001-6969
Journal
Acta Scientiarum Mathematicarum
Quellenangaben
Volume: 86,
Issue: 1-2,
Pages: 331-342
Publisher
Bolyai Institute, University of Szeged
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)