论文信息 - Some examples concerning proximinality in Banach spaces

Some examples concerning proximinality in Banach spaces

We discuss the relationships between ? -strongly Chebyshev, ? -approximative compactness, ? -strong proximinality, and proximinality, where ? stands for the norm topology or weak topology. We consider four examples which illustrate the differences, and a counterexample that shows the question regarding the approximative n -compact Chebyshev subset, raised by Bandyopadhyay et al., is negative.

Yu Zhou | Chunyan Liu | Zihou Zhang

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