On Banach spaces of regulated functions

• Autorzy: Drewnowski L.

Identyfikatory

DOI

10.14708/cm.v57i2.4373

• Języki publikacji: EN

Abstrakty

EN

For a relatively compact subset S of the real line R, 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.

Słowa kluczowe

EN

regulated function; left continuity; right continuity; Banach spaces; co(S) spaces; triple Sorgenfrey line; Alexandrov-Urysohn constructions; C(K) spaces; isomorphisms

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2017
• Tom: Vol 57, No. 2
• Strony: 153--169
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Drewnowski L.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Bibliografia

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