Factorization and domination of positive Banach-Saks operators

• Autorzy: Julio Flores , Pedro Tradacete
• Języki publikacji: EN

Abstrakty

EN

It is proved that every positive Banach-Saks operator T: E → F between Banach lattices E and F factors through a Banach lattice with the Banach-Saks property, provided that F has order continuous norm. By means of an example we show that this order continuity condition cannot be removed. In addition, some domination results, in the Dodds-Fremlin sense, are obtained for the class of Banach-Saks operators.

Kategorie tematyczne

• 47B65: Positive operators and order-bounded operators
• 47B07: Operators defined by compactness properties
• 46B42: Banach lattices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 189
• Numer: 1
• Strony: 91-101

Daty

wydano

2008

Twórcy

autor

Julio Flores

• Department of Applied Mathematics, Escet, Universidad Rey Juan Carlos, 28933, Móstoles, Madrid, Spain

autor

Pedro Tradacete

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

Identyfikatory

DOI

10.4064/sm189-1-7