• Corpus ID: 239009722

# Banach spaces with the (strong) Gelfand--Phillips property

@inproceedings{Banakh2021BanachSW,
title={Banach spaces with the (strong) Gelfand--Phillips property},
author={Taras O. Banakh and Saak Gabriyelyan},
year={2021}
}
• Published 15 October 2021
• Mathematics
Several new characterizations of the Gelfand–Phillips property are given. We define a strong version of the Gelfand–Phillips property and prove that a Banach space has this stronger property iff it embeds into c0. For an infinite compact space K, the Banach space C(K) has the strong Gelfand–Phillips property iff C(K) is isomorphic to c0 iff K is countable and has finite scattered height.
3 Citations
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