Unique Minimality of Fourier Projections

DOI10.2307/1998492zbMath0545.42001OpenAlexW4230248801MaRDI QIDQ3334398

Peter D. Morris, Daniel Wulbert, Stephen D. Fisher

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998492

zbMATH Keywords

disc algebraFourier projectionuniqueness of minimal norm projections

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (17)

Codimension-one minimal projections onto Haar subspaces ⋮ A lower bound of the strongly unique minimal projection constant of \(\ell ^n_\infty\), \(n\geqslant 3\) ⋮ Subspaces of codimension two with large projection constants ⋮ Minimal projections in spaces of functions of \(N\) variables ⋮ Uniqueness of minimal Fourier-type extensions in \(L_1\)-spaces ⋮ The Chalmers-Metcalf operator and minimal extensions ⋮ A sharp estimate of the Landau constants ⋮ Uniqueness of minimal projections in smooth expanded matrix spaces ⋮ Minimal projection onto certain subspace of Lp(X×Y×Z) ⋮ Chalmers-Metcalf operator and uniqueness of minimal projections ⋮ Some Results on Absolute Projection Constants ⋮ On the norms and minimal properties of de la Vallée Poussin's type operators ⋮ Minimal Projections with Respect to Numerical Radius ⋮ Fourier-type minimal extensions in real \(L_1\)-space ⋮ Uniqueness of minimal projections in smooth matrix spaces ⋮ Norming points and unique minimality of orthogonal projections ⋮ Cominimal projections in \(l_\infty^n\)

Cites Work

• On the Minimal Property of the Fourier Projection
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