Norm-one projections onto subspaces of \(\ell _ p\)

DOI10.1007/BF01766140zbMath0673.46010OpenAlexW2004099860MaRDI QIDQ1120787

Marco Baronti, Pier Luigi Papini

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766140

zbMATH Keywords

basisrange of a norm-one projectionconstrained hyperplanes

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

One-complemented subspaces of Musiełak-Orlicz sequence spaces ⋮ Norm-one projections onto subspaces of \((\ell ^{\infty})\) ⋮ One-complemented subspaces of real sequence spaces ⋮ A uniform estimate of the relative projection constant ⋮ Some remarks on contractive and existence sets ⋮ A uniform lower bound on the norms of hyperplane projections of spherical polytopes ⋮ Minimal projections onto hyperplanes in \(\ell_p^n\) ⋮ Uniqueness of minimal Fourier-type extensions in \(L_1\)-spaces ⋮ Monotonic norms and orthogonal issues in multidimensional voting ⋮ Norm-one projections onto subspaces of finite codimension in \(\ell_ 1\) and \(c_ 0\) ⋮ Farthest and nearest points in balls of subspaces ⋮ Norming points and unique minimality of orthogonal projections ⋮ \(L^p\)-projections on subspaces and quotients of Banach spaces ⋮ A note on norm-one projections onto subspaces of finite codimension of \(l^{\infty}\) ⋮ Contractive projections and isometries in sequence spaces ⋮ On the non-uniqueness of minimal projection in \(L_p\) spaces ⋮ One-Complemented Subspaces in Musielak-Orlicz Sequence Spaces with a General Smoothness Condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak continuity of metric projections
• Linear selections for the metric projection
• Remarks on linear selections for the metric projection
• \(L^ p\) contractive projections and the heat semigroup for differential forms
• Cosuns in \(\ell ^ p(n)\), \(1\leq p<\infty \).
• Minimal projections on hyperplanes in sequence spaces
• Bicontractive projections and reordering of Lsub(p)-spaces
• A limit theorem for projections
• Convergence Sets in Reflexive Banach Spaces

This page was built for publication: Norm-one projections onto subspaces of \(\ell _ p\)