Fourier-type minimal extensions in real \(L_1\)-space

DOI10.1216/rmjm/1021477257zbMath0983.46031OpenAlexW2075048369MaRDI QIDQ5928722

Giuseppe Marino, Paolamaria Pietramala, Grzegorz Lewicki

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-3/CONT30-3/CONT30-3.html

zbMATH Keywords

Fourier-type operatorminimal extensionshift-invariant space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Approximation by operators (in particular, by integral operators) (41A35) Uniqueness of best approximation (41A52)

Related Items (12)

Codimension-one minimal projections onto Haar subspaces ⋮ 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 ⋮ 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 ⋮ On the Unique Minimality of the Fourier Projection inL_pSpaces ⋮ Uniqueness of minimal projections in smooth matrix spaces ⋮ ON THE MINIMAL PROPERTY OF DE LA VALLÉE POUSSIN’S OPERATOR ⋮ Minimal Multi-Convex Projections Onto Subspaces of Incomplete Algebraic Polynomials ⋮ The unique minimality of an averaging projection

Cites Work

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• Minimal projections in \(\mathcal L_1\)-spaces
• Unique Minimality of Fourier Projections
• The Determination of Minimal Projections and Extensions in L 1
• On the Minimal Property of the Fourier Projection

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