INCOMPLETENESS OF THE LINEAR SPAN OF THE POSITIVE COMPACT-OPERATORS

Authors
CHEN ZL WICKSTEAD AW
Citation
Zl. Chen et Aw. Wickstead, INCOMPLETENESS OF THE LINEAR SPAN OF THE POSITIVE COMPACT-OPERATORS, Proceedings of the American Mathematical Society, 125(11), 1997, pp. 3381-3389
Citations number
15
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
11
Year of publication
1997
Pages
3381 - 3389
Database
ISI
SICI code
0002-9939(1997)125:11<3381:IOTLSO>2.0.ZU;2-N
Abstract
We show that even in the case of a Banach lattice E with an order cont inuous norm (or whose dual has an order continuous norm) the linear sp an of the positive compact operators on E need not be complete under t he regular norm.