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^*

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

2 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	English
الصفحات (من إلى)	142-163
عدد الصفحات	22
دورية	Journal of Approximation Theory
مستوى الصوت	67
رقم الإصدار	2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/0021-9045(91)90014-2
حالة النشر	Published - نوفمبر 1991
منشور خارجيًا	نعم

ASJC Scopus subject areas

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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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AU - Kamal, Aref

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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

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