Proximinal subspaces of \(C(\mathcal Q)\) of finite codimension

DOI10.1006/jath.1999.3361zbMath0965.41012OpenAlexW2027366718MaRDI QIDQ1960903

Francesca Centrone, Anna Martellotti

Publication date: 2 March 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3361

zbMATH Keywords

vector measureclopen setproximinal space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear function spaces and their duals (46E99)

Related Items (2)

Proximinal subspaces of \(C(\mathcal Q)\) of finite codimension ⋮ On existence theorems for finite-codimensional subspaces in \(C(Q)\)

Cites Work

• Best approximation in \(L^ p(\mu,X)\). II
• Subspaces of finite codimension: The existence of elements of best approximation
• The existence of elements of best approximation in the complex space C(Q)
• Geometric properties of the range of two-dimensional quasi-measures with respect to the Radon-Nikodým property
• Best approximation in \(L^ p(I,X)\), \(0<p<1\)
• Proximinal subspaces of \(C(\mathcal Q)\) of finite codimension
• Cebysev subspaces of finite codimension in \(C(X)\)
• Some best-approximation theorems in tensor-product spaces
• Proximinal Subspaces of Finite Codimesion in General Normed Linear Spaces
• Best Approximation in L 1 (I, X)
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