Title of article
Disjointly homogeneous Banach lattices and compact products of operators
Author/Authors
Flores، نويسنده , , Julio and Tradacete، نويسنده , , Pedro and Troitsky، نويسنده , , Vladimir G.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
7
From page
657
To page
663
Abstract
The notion of disjointly homogeneous Banach lattice is introduced. In these spaces every two disjoint sequences share equivalent subsequences. It is proved that on this class of Banach lattices the product of a regular AM-compact and a regular disjointly strictly singular operators is always a compact operator.
Keywords
Disjointly strictly singular operator , Positive operator , AM-compact operator , Dunford–Pettis operator
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560163
Link To Document