Domination by positive Banach-Saks operators

• Autorzy: Julio Flores , César Ruiz
• Języki publikacji: EN

Abstrakty

EN

Given a positive Banach-Saks operator T between two Banach lattices E and F, we give sufficient conditions on E and F in order to ensure that every positive operator dominated by T is Banach-Saks. A counterexample is also given when these conditions are dropped. Moreover, we deduce a characterization of the Banach-Saks property in Banach lattices in terms of disjointness.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 47B65: Positive operators and order-bounded operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 173
• Numer: 2
• Strony: 185-192

Daty

wydano

2006

Twórcy

autor

Julio Flores

• Departamento de Matemática y Física Aplicadas, Escet, Universidad Rey Juan Carlos, 28933 Madrid, Spain

autor

César Ruiz

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain

Identyfikatory

DOI

10.4064/sm173-2-5