Volterra operator norms: a brief survey

DOI10.2478/MJPAA-2023-0018MaRDI QIDQ6553760

Thomas Ransford

Publication date: 11 June 2024

Published in: Moroccan Journal of Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

numerical rangeVolterra operatoroperator norm

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Integral operators (47G10)

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
• Norms of polynomials of the Volterra operator
• On the eigenvalues of certain canonical higher-order ordinary differential operators
• 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
• Best constants in norm inequalities for derivatives on a half-line
• Estimates for the Norm of the n th Indefinite Integral
• The Norm of Powers of the Indefinite Integral Operator on (0, 1)
• A note about Volterra operator
• The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
• Weighted Markov‐type inequalities, norms of Volterra operators, and zeros of Bessel functions
• Operator norms of powers of the Volterra operator

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