Norms of polynomials of the Volterra operator

DOI10.1016/j.jmaa.2022.126626OpenAlexW4293051165MaRDI QIDQ2079567

Thomas Ransford, Nathan Walsh

Publication date: 30 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.09947

zbMATH Keywords

numerical rangeVolterra operatoroperator norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Numerical range, numerical radius (47A12) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line
• Norms of powers of the Volterra operator
• On the numerical range and numerical radius of the Volterra operator
• Bounds for analytical functions of matrices
• The norms and singular numbers of polynomials of the classical Volterra operator in L₂(0,1)
• Contractive polynomials of the Volterra operator
• Semi-Inner-Product Spaces
• Estimates for the Norm of the n th Indefinite Integral
• The Norm of Powers of the Indefinite Integral Operator on (0, 1)
• The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
• Operator norms of powers of the Volterra operator

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