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Characterization of Sets with Continuous Metric Projection in the Space \(\ell^\infty_n\)
Mathematical Notes ( IF 0.6 ) Pub Date : 2020-10-26 , DOI: 10.1134/S0001434620090011 A. R. Alimov
Mathematical Notes ( IF 0.6 ) Pub Date : 2020-10-26 , DOI: 10.1134/S0001434620090011 A. R. Alimov
We characterize the subsets of the space \(\ell^\infty_n\) with continuous (lower semicontinuous) metric projection. One of the characteristic properties is the strict solarity of both the set and any nonempty intersection thereof with any support coordinate hyperplane.
中文翻译:
空间\(\ ell ^ \ infty_n \)中具有连续度量投影的集合的特征
我们用连续(较低的半连续)度量投影来表征空间\(\ ell ^ \ infty_n \)的子集。特征属性之一是集合及其任何非空交点与任何支撑坐标超平面的严格日照度。
更新日期:2020-10-26
中文翻译:
空间\(\ ell ^ \ infty_n \)中具有连续度量投影的集合的特征
我们用连续(较低的半连续)度量投影来表征空间\(\ ell ^ \ infty_n \)的子集。特征属性之一是集合及其任何非空交点与任何支撑坐标超平面的严格日照度。