### 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 |
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Pages (from-to) | 142-163 |

Number of pages | 22 |

Journal | Journal of Approximation Theory |

Volume | 67 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1991 |

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### ASJC Scopus subject areas

- Analysis
- Numerical Analysis
- Mathematics(all)
- Applied Mathematics

### Cite this

**On weak Chebyshev subspaces. II. Continuous selection for the metric projection and extension to Mairhuber's theorem.** / Kamal, Aref.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - On weak Chebyshev subspaces. II. Continuous selection for the metric projection and extension to Mairhuber's theorem

AU - Kamal, Aref

PY - 1991

Y1 - 1991

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=44949285637&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44949285637&partnerID=8YFLogxK

U2 - 10.1016/0021-9045(91)90014-2

DO - 10.1016/0021-9045(91)90014-2

M3 - Article

AN - SCOPUS:44949285637

VL - 67

SP - 142

EP - 163

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

SN - 0021-9045

IS - 2

ER -