The Order Continuity of the Regular Norm on Regular Operator Spaces
Joint Authors
Feng, Ying
Chen, Zi Li
Chen, Jin Xi
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-09
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We present here some sufficient conditions for the regular norm on ℒr(E,F) to be order continuous, and for (ℒr(E,F),∥·∥r) to be a KB-space.
In particular we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness of regular operators.
Also we characterize when the space ℒr(E,F) is an Lp-space and is lattice isomorphic to an Lp-space for 1 Some related results are also obtained.
American Psychological Association (APA)
Chen, Zi Li& Feng, Ying& Chen, Jin Xi. 2013. The Order Continuity of the Regular Norm on Regular Operator Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-452633
Modern Language Association (MLA)
Chen, Zi Li…[et al.]. The Order Continuity of the Regular Norm on Regular Operator Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-452633
American Medical Association (AMA)
Chen, Zi Li& Feng, Ying& Chen, Jin Xi. The Order Continuity of the Regular Norm on Regular Operator Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-452633
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452633
