Bounded strict solarity of strict suns in the space C(Q) / A. R. Alimov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 6. P. 16-19 [Moscow Univ. Math. Bulletin. Vol. 67, N 6, 2012.].
The intersection of a 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 ∩ intΠ ≠ ∅ is satisfied. This property is shown to characterize closed spans in C(Q).
Key words: strict sun, strict protosun, sun, interval of functions, span, normed linear space.