In this paper, we prove when these x ∈ l<sub>2</sub> with <img src="Edit_f19f1285-6d80-48bb-b69d-6d6112f13051.bmp" alt="" /> , they have the common δ for strongly ball proximina...In this paper, we prove when these x ∈ l<sub>2</sub> with <img src="Edit_f19f1285-6d80-48bb-b69d-6d6112f13051.bmp" alt="" /> , they have the common δ for strongly ball proximinal. By using this property, we can prove the strong ball proximinality of l<span style="white-space:nowrap;"><sub>∞</sub>(l<sub>2</sub>). Also, we show that equable subspace Y of a Banach space X is actually uniform ball proximinality.展开更多
文摘In this paper, we prove when these x ∈ l<sub>2</sub> with <img src="Edit_f19f1285-6d80-48bb-b69d-6d6112f13051.bmp" alt="" /> , they have the common δ for strongly ball proximinal. By using this property, we can prove the strong ball proximinality of l<span style="white-space:nowrap;"><sub>∞</sub>(l<sub>2</sub>). Also, we show that equable subspace Y of a Banach space X is actually uniform ball proximinality.
