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Banach Spaces Which are Isometric to Subspaces of c0(Γ)

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Abstract

In this paper, we give a number of characterizations for a Banach space X which is isometric to a subspace of c0, or, c0(Γ), successively, in terms of extreme points of its dual unit ball BX*, Fréchet and Gâteaux derivatives of its norm, or, in terms of w*-strongly exposed points and w*-exposed points of BX*.

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Acknowledgements

The authors would like to thank the teachers and the students in the FA Seminar in Xiamen University for their helpful conversations on this paper.

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Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China

    Li Xin Cheng & Jian Jian Wang

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  1. Li Xin Cheng
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  2. Jian Jian Wang
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Correspondence to Li Xin Cheng.

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Supported by National Natural Science Foundation of China (Grant No. 11731010)

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Cheng, L.X., Wang, J.J. Banach Spaces Which are Isometric to Subspaces of c0(Γ). Acta. Math. Sin.-English Ser. 37, 1171–1178 (2021). https://doi.org/10.1007/s10114-021-0591-3

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