Title of article
About positive Dunford–Pettis operators on Banach lattices
Author/Authors
Belmesnaoui Aqzzouz ?، نويسنده , , Redouane Nouira، نويسنده , , Larbi Zraoula، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
11
From page
49
To page
59
Abstract
We give several characterizations of Banach lattices on which each positive Dunford–Pettis operator is
compact. As consequences, we obtain new sufficient and necessary conditions under which a norm of a
Banach lattice is order continuous, a positive weakly compact operator is compact and the dual operator of
a positive Dunford–Pettis operator is Dunford–Pettis.
© 2005 Elsevier Inc. All rights reserved.
Keywords
Order continuous norm , Discrete vector lattice , Compact operator , Dunford–Pettis operator
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934978
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