- Tytuł:
- Strengthened Stone-Weierstrass type theorem
- Autorzy:
- Niemiec, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/254993.pdf
- Data publikacji:
- 2011
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Stone-Weierstrass theorem
function lattices - Opis:
- The aim of the paper is to prove that if L is a linear subspace of the space C(K) of all real-valued continuous functions defined on a nonempty compact Hausdorff space K such that min(/ƒ/, 1) ∈ L whenever fnof; ∈ L, then for any nonzero g ∈ L (where L denotes the uniform closure of L in C(K)) and for any sequence (bn) ∞/n=1 of positive numbers satisfying the relation [formula] there exists a sequence [formula] of elements of L such that //ƒn// = bn for each n ≥ 1, g = [formula] and /g/| = [formula]. Also the formula for L is given.
- Źródło:
-
Opuscula Mathematica; 2011, 31, 4; 645-650
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł