Double-dual types over the Banach space C ( K )

Markus Pomper

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-13

Abstract:

Let K be a compact Hausdorff space and C ( K ) the Banach space of all real-valued continuous functions on K , with the sup-norm. Types over C ( K ) (in the sense of Krivine and Maurey) can be uniquely represented by pairs ( ℓ , u ) of bounded real-valued functions on K , where ℓ is lower semicontinuous, u is upper semicontinuous, ℓ ≤ u , and ℓ ( x ) = u ( x ) for all isolated points x of K . A condition that characterizes the pairs ( ℓ , u ) that represent double-dual types over C ( K ) is given.

Date: 2005
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2005/689580.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2005/689580.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:689580

DOI: 10.1155/IJMMS.2005.2533

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().