Some remarks on strong uniqueness of best approximation

Sudolski, J.; Wójcik, Adam P.

doi:10.1007/bf02836160

Approx. Theory & its Appl.

1990

DOI: 10.1007/bf02836160

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Some remarks on strong uniqueness of best approximation

J. Sudolski

Adam P. Wójcik

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1997

2024

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Cited by 6 publications

References 41 publications

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Best approximation properties in spaces of measurable functions

Ciesielski

Lewicki

2017

Mathematische Nachrichten

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Abstract. We research proximinality of µ-sequentially compact sets and µ-compact sets in measurable function spaces. Next we show a correspondence between the Kadec-Klee property for convergence in measure and µ-compactness of the sets in Banach function spaces. Also the property S is investigated in Fréchet spaces and employed to provide the Kadec-Klee property for local convergence in measure. We discuss complete criteria for continuity of metric projection in Fréchet spaces with respect to the Hausdorff distance. Finally, we present the necessary and sufficient condition for continuous metric selection onto a one-dimensional subspace in sequence Lorentz spaces d(w, 1). Mathematics Subjects Classification: 41A65, 46E30, 46A40.

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Best approximation properties in spaces of measurable functions

Ciesielski

Lewicki

2017

Mathematische Nachrichten

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Minimal Projections onto Two Dimensional Subspaces ofl(4)∞

Lewicki

1997

Journal of Approximation Theory

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Cominimal Projections inln∞

Lipieta¹

1999

Journal of Approximation Theory

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Some remarks on strong uniqueness of best approximation

Cited by 6 publications

References 41 publications

Best approximation properties in spaces of measurable functions

Best approximation properties in spaces of measurable functions

Minimal Projections onto Two Dimensional Subspaces ofl(4)∞

Cominimal Projections inln∞

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