König chains for submultiplicative functions and infinite products of operators

DOI10.1090/S0002-9947-09-04909-5zbMath1195.47009MaRDI QIDQ3642700

Jacek R. Jachymski

Publication date: 6 November 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

joint spectral radiusKönig chainBernstein operatorssubmultiplicative functionHutchinson systeminfinite products of operatorsTychonoff's compactness theorem

Mathematics Subject Classification ID

Compactness (54D30) Ergodic theory of linear operators (47A35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear operators on function spaces (general) (47B38) General theory of topological algebras (46H05) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Cites Work

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• Sets of matrices all infinite products of which converge
• Compactification of a set of matrices with convergent infinite products
• On the convergence and iterates of \(q\)-Bernstein polynomials
• Iterates of Bernstein polynomials
• On the infinite product of operators in Hilbert space
• The contraction principle for mappings on a metric space with a graph
• The Hutchinson-Barnsley theory for infinite iterated function systems
• Corrigendum/addendum to: Sets of matrices all infinite products of which converge

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