- Tytuł:
- A remark on non-existence of an algebra norm for the algebra of continuous functions on a topological space admitting an unbounded continuous function
- Autorzy:
- Pruss, Alexander R.
- Powiązania:
- https://bibliotekanauki.pl/articles/1288753.pdf
- Data publikacji:
- 1995
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
algebra of all continuous functions
normed commutative algebra
non-existence of norm
topological spaces admitting unbounded functions - Opis:
- Let X be any topological space, and let C(X) be the algebra of all continuous complex-valued functions on X. We prove a conjecture of Yood (1994) to the effect that if there exists an unbounded element of C(X) then C(X) cannot be made into a normed algebra.
- Źródło:
-
Studia Mathematica; 1995, 116, 3; 295-297
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł