Opial's modulus in Köthe sequence spaces

• Autorzy: Cui Y. , Li Y. , Płuciennik R.
• Języki publikacji: EN

Abstrakty

EN

It is found a modified formula for Opial's modulus rX of order continuous Köthe sequence space X without Schur's property. By using this result, the Opial's modulus of Lebesgue sequence spaces as well as Cesaro sequence spaces can be computed easily. Moreover it is proved in the Köthe se-quence space X with the Fatou property the condition rX(1)>0 implies the order continuity of X.

Słowa kluczowe

EN

fixed-point property; Opial's modulus; Köhe sequence space; Cesaro sequence space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 1999
• Tom: [Z] 39
• Strony: 43--56
• Opis fizyczny: bibliogr. 17 poz.

Twórcy

autor

Cui Y.

autor

Li Y.

autor

Płuciennik R.

• Department of Mathematics, Harbin University of Science and Tchnology Xuefu Road 52, 150080 Harbin, China