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Properties of Suns in the Spaces \(L^1\) and \(C(Q)\)

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Abstract

Properties of suns in the spaces \(L^1\) and \(C(Q)\) are studied. It is shown that every boundedly compact sun in \(L^1\) is convex and every boundedly weakly compact sun in \(C(Q)\) is monotone path-connected.

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References

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Funding

The research was supported by the Russian Foundation for Basic Research, project no. 19-01-00332-a.

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Correspondence to I. G. Tsar’kov.

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Tsar’kov, I.G. Properties of Suns in the Spaces \(L^1\) and \(C(Q)\). Russ. J. Math. Phys. 28, 398–405 (2021). https://doi.org/10.1134/S1061920821030122

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  • DOI: https://doi.org/10.1134/S1061920821030122

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