- Tytuł:
- On Banach spaces of regulated functions
- Autorzy:
- Drewnowski, Lech
- Powiązania:
- https://bibliotekanauki.pl/articles/1912831.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Regulated function
left- and right-continuity
Banach spaces
\(c_0(S)\) spaces
triple Sorgenfrey line
Alexandrov--Urysohn constructions
\(C(K)\) spaces, isomorphisms - Opis:
- For a relatively compact subset \(S\) of the real line \(\BR\), let \(R(S)\) denote the Banach space (under the sup norm) of all regulated scalar functions defined on \(S\). The purpose of this paper is to study those closed subspaces of \(R(S)\) that consist of functions that are left-continuous, right-continuous, continuous, and have a (two-sided) limit at each point of some specified disjoint subsets of \(S\). In particular, some of these spaces are represented as \(C(K)\) spaces for suitable, explicitly constructed, compact spaces \(K\).
- Źródło:
-
Commentationes Mathematicae; 2017, 57, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł