Exhaustivity in Topological Riesz Spaces with the Principal Projection Property

• Autorzy: Kimberly Muller
• Języki publikacji: EN

Abstrakty

EN

Exhaustive and uniformly exhaustive elements are studied in the setting of locally solid topological Riesz spaces with the principal projection property. We study the structure of the order interval [0,x] when x is an exhaustive element and the structure of the solid hull of a set of uniformly exhaustive elements.

Kategorie tematyczne

• 46A40: Ordered topological linear spaces, vector lattices
• 46B20: Geometry and structure of normed linear spaces
• 46B42: Banach lattices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 1
• Strony: 53-62

Daty

wydano

2006

Twórcy

autor

Kimberly Muller

• Department of Mathematics, Lake Superior State University, Sault Sainte Marie, MI 49783, U.S.A.

Identyfikatory

DOI

10.4064/ba54-1-5