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Bounded strict solar property of strict suns in the space C(Q)

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Abstract

The intersection of an arbitrary strict sun M in C(Q) with a closed span Π ⊂ C(Q) (in particular, with a closed ball) is shown to be a strict protosun, provided that the natural condition M ∩ int Π ≠ Ø is satisfied. This property is shown to characterize closed spans in C(Q).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    A. P. Alimov

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  1. A. P. Alimov
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Original Russian Text © A.P. Alimov, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 6, pp. 16–19.

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Alimov, A.P. Bounded strict solar property of strict suns in the space C(Q) . Moscow Univ. Math. Bull. 68, 14–17 (2013). https://doi.org/10.3103/S0027132213010038

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  • DOI: https://doi.org/10.3103/S0027132213010038

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