A Müntz space having no complement in 𝐿₁

DOI10.1090/S0002-9939-07-09090-9zbMath1171.41003OpenAlexW2014239624MaRDI QIDQ5429440

Ihab Al Alam

Publication date: 30 November 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09090-9

zbMATH Keywords

Schauder basiscomplementationMüntz spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (6)

Approximation in Müntz spaces \(M_{\Lambda,p}\) of \(L_p\) functions for \(1<p<\infty\) and bases ⋮ Essential norms of weighted composition operators on Müntz spaces ⋮ Essential norm of Cesàro operators on \(L^p\) and Cesàro spaces ⋮ Banach subspaces of continuous functions possessing Schauder bases ⋮ Asymptotic isometries for lacunary Müntz spaces and applications ⋮ Embedding theorems for Müntz spaces

Cites Work

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• Geometry of Müntz spaces and related questions
• A Müntz space having no complement
• On projections in \(L_1\)
• Bounds for relative projection constants in \(L^1(-1,1)\)
• Boun asymptoticds for projection operators on lebesgue spaces
• On relatively disjoint families of measures, with some applications to Banach space theory

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