On continuous linear operators on D[0, 1) with nonseparable ranges

• Autorzy: Michalak A.
• Języki publikacji: EN

Abstrakty

EN

D[0,1) is the Banach space (under the sup norm) of all scalar functions defined on the interval [0,1) that are right-continuous at each point of [0,1), and have a left-hand limit at each point of (0,1]. The main result of the paper is that a continuous linear operator S : D[0,1) -> D[0,1) has a nonseparable range if and only if S fixes an isomorphic copy of D[0,1).

Słowa kluczowe

EN

C(K)-spaces; vector functions of bounded variation

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2003
• Tom: [Z] 43(2)
• Strony: 221--248
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Michalak A.

• Wydział Matematyki i Informatyki UAM, Umultowska 87, 61-614 Poznań, Poland ,

Bibliografia

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