Bounded strict solar property of strict suns in the space \(C(Q)\) (Q355331)

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scientific article; zbMATH DE number 6190826
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Bounded strict solar property of strict suns in the space \(C(Q)\)
scientific article; zbMATH DE number 6190826

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    Bounded strict solar property of strict suns in the space \(C(Q)\) (English)
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    24 July 2013
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    This is a short interesting paper with three theorems and an applicable proposition. The abstract is concise and reads as follows: ``The intersection of an arbitrary strict sun \(M\) in \(C(Q)\) with a closed span \(\Pi\subset C(Q)\) (in particular, with a closed ball) is shown to be a strict protosun, provided that the natural condition \(M\cap \text{int}\,\Pi\neq\emptyset\) is satisfied. This property is shown to characterize closed spans in \(C(Q)\).''
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