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Pełczyński’s property V for spaces of compact operators

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Abstract

Assume that X is a reflexive Banach space with an unconditional basis. In this paper, we show that the Banach space K(X) of compact operators on X has Pełczyński’s property V.

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Acknowledgements

The authors would like to thank people in the Functional Analysis seminar of Xiamen University for their conversations on the paper.

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  1. School of Mathematical Science, Xiamen University, Xiamen, 361005, China

    Lixin Cheng & Wuyi He

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  1. Lixin Cheng
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  2. Wuyi He
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Correspondence to Wuyi He.

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Lixin Cheng and Wuyi He: Support by National Natural Science Foundation of China, Grant No. 11731010.

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Cheng, L., He, W. Pełczyński’s property V for spaces of compact operators. Positivity 25, 1147–1152 (2021). https://doi.org/10.1007/s11117-020-00805-2

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  • DOI: https://doi.org/10.1007/s11117-020-00805-2

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