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Complete sets in normed linear spaces

2019-10-31 10:42

报告人: 吴森林

报告人单位: North University of China(中北大学)

时间: 2019-11-06 15:30-17:00

地点: 卫津路校区6号楼112教

开始时间: 15:30

报告人简介: 教授

年: 2019

日月: 11.06

The concept of complete sets in normed linear spaces is a natural generalization of the concept of sets of constant width in Euclidean spaces. A bounded set in a normed linear space is said to be diametrically complete, diametrically maximal, or simply complete if it cannot be enlarged without increasing the diameter. We present a survey of results on complete sets in the following directions: elementary properties and characterizations; radii, centers, and diameter; relations to sets of constant width and balls; perfect spaces; completions of bounded sets; and uniqueness of completion.

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