On weak Chebyshev subspaces. II. Continuous selection for the metric projection and extension to Mairhuber's theorem

Aref Kamal

doi:10.1016/0021-9045(91)90014-2

On weak Chebyshev subspaces. II. Continuous selection for the metric projection and extension to Mairhuber's theorem

Aref Kamal^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The main result in this paper is the characterization of all n-dimensional weak Chebyshev Z subspaces of C(Q) for which the metric projection has a continuous selection. It is also shown that if n ≥ 3 and P_N has a continuous selection, then Q should be homeomorphic to a subset of R.

Original language	English
Pages (from-to)	142-163
Number of pages	22
Journal	Journal of Approximation Theory
Volume	67
Issue number	2
DOIs	https://doi.org/10.1016/0021-9045(91)90014-2
Publication status	Published - Nov 1991
Externally published	Yes

ASJC Scopus subject areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

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10.1016/0021-9045(91)90014-2

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abstract = "The main result in this paper is the characterization of all n-dimensional weak Chebyshev Z subspaces of C(Q) for which the metric projection has a continuous selection. It is also shown that if n ≥ 3 and PN has a continuous selection, then Q should be homeomorphic to a subset of R.",

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AB - The main result in this paper is the characterization of all n-dimensional weak Chebyshev Z subspaces of C(Q) for which the metric projection has a continuous selection. It is also shown that if n ≥ 3 and PN has a continuous selection, then Q should be homeomorphic to a subset of R.

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On weak Chebyshev subspaces. II. Continuous selection for the metric projection and extension to Mairhuber's theorem

Abstract

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