Bounded strict solar property of strict suns in the space C(Q)
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).
KeywordsNatural Condition Closed Ball Solar Property Closed Span
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