The linearity coefficient of metric projections onto a Chebyshev subspace

被引：0

作者：

P. A. Borodin

机构：

[1] Moscow State University,

来源：

Mathematical Notes | 2009年 / 85卷

关键词：

metric projection; linearity coefficient; Chebyshev subspace; Lipschitz condition; Banach space; quasiorthogonal set; Urysohn’s lemma; Hilbert space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The linearity coefficient λ(Y) of a metric projection PY onto a subspace Y in a Banach space X is determined. This coefficient turns out to be related to the Lipschitz norm of the operator PY. It is proved that, for any Chebyshev subspace Y in the space C or L1, either λ(Y) = 1 (which corresponds to the linearity of PY) or λ(Y) ≤ 1/2.

引用

页码：168 / 175

页数：7

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