Strong proximinality of exposed faces of C0(T)

Autor: Prakash, N., Sangeetha, K. V.
Zdroj: The Journal of Analysis; December 2023, Vol. 31 Issue: 4 p2877-2888, 12p
Abstrakt: For a locally compact Hausdorff space T, we denote the space of all real valued continuous functions vanishing at infinity on Tby C0(T)and we prove that every exposed face of C0(T)is strongly proximinal. Moreover, we show that the corresponding set valued metric projection map has a continuous selection by proving it is Hausdorff metric continuous.
Databáze: Supplemental Index