The Norm of Powers of the Indefinite Integral Operator on (0, 1)

DOI10.1112/S0024609398004810zbMath1042.47503OpenAlexW2053993636MaRDI QIDQ4266005

Brian Thorpe

Publication date: 1998

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609398004810

zbMATH Keywords

operator normHilbert-Schmidt normoperator powersasymptotical equalityindefinite integral operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

LINEAR OPERATORS WITH EMPTY SPECTRUM ⋮ Mass dependence of quantum energy inequality bounds ⋮ Iterates of Volterra operators and indeterminate forms ⋮ Inequalities of the Markov type for partial derivatives of polynomials in several variables ⋮ Norm estimates for resolvents of linear operators in a Banach space and spectral variations ⋮ On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line ⋮ The relation ``commutator equals function in Banach algebras ⋮ On the spectral radius of antidiagonal block operator matrices ⋮ Norms of polynomials of the Volterra operator ⋮ Spectrum perturbations of linear operators in a Banach space ⋮ Weighted Markov‐type inequalities, norms of Volterra operators, and zeros of Bessel functions

This page was built for publication: The Norm of Powers of the Indefinite Integral Operator on (0, 1)