The Volterra operator is finitely strictly singular from \(L^1\) to \(L^\infty\)

DOI10.1016/j.jat.2016.11.001zbMath1369.47042OpenAlexW2556851644MaRDI QIDQ730190

Pascal Lefèvre

Publication date: 23 December 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2016.11.001

zbMATH Keywords

Volterra operatorBernstein numbersfinitely strictly singularsummation operator

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (5)

Essential norm of Cesàro operators on \(L^p\) and Cesàro spaces ⋮ Asymptotic isometries for lacunary Müntz spaces and applications ⋮ Strict 𝑆-numbers of the Volterra operator ⋮ Essential norms of Volterra and Cesàro operators on Müntz spaces ⋮ Volterra-Choquet nonlinear operators

Cites Work

• Eigenvalues, embeddings and generalised trigonometric functions
• Finitely strictly singular operators between James spaces
• On \(Y\)-closed subspaces of \(X\), for Banach spaces \(X\subset Y\); existence of alternating elements in subspaces of \(C(J)\)
• Exact values of Bernstein widths of Sobolev classes of periodic functions
• Operators of Hardy type
• Finitely strictly singular operators in harmonic analysis and function theory
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