On the Bishop-Phelps-Bollobás Property for Numerical Radius
Joint Authors
Kim, Sun Kwang
Martin, Miguel
Lee, Han Ju
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study the Bishop-Phelps-Bollobás property for numerical radius (in short, BPBp-nu) and find sufficient conditions for Banach spaces to ensure the BPBp-nu.
Among other results, we show that L 1 μ -spaces have this property for every measure μ.
On the other hand, we show that every infinite-dimensional separable Banach space can be renormed to fail the BPBp-nu.
In particular, this shows that the Radon-Nikodým property (even reflexivity) is not enough to get BPBp-nu.
American Psychological Association (APA)
Kim, Sun Kwang& Lee, Han Ju& Martin, Miguel. 2014. On the Bishop-Phelps-Bollobás Property for Numerical Radius. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1014044
Modern Language Association (MLA)
Kim, Sun Kwang…[et al.]. On the Bishop-Phelps-Bollobás Property for Numerical Radius. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1014044
American Medical Association (AMA)
Kim, Sun Kwang& Lee, Han Ju& Martin, Miguel. On the Bishop-Phelps-Bollobás Property for Numerical Radius. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1014044
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014044
