Change search
ReferencesLink to record
Permanent link

Direct link
Structure of Cesaro function spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2009 (English)In: Indagationes mathematicae, ISSN 0019-3577, E-ISSN 1872-6100, Vol. 20, no 3, 329-379 p.Article in journal (Refereed) Published
Abstract [en]

The structure of the Cesàro function spaces Cesp on both [0,1] and [0, ∞) for 1 < p ≤ ∞ is investigated. We find their dual spaces, which equivalent norms have different description on [0, 1] and [0, ∞).The spaces Cesp for 1 < p < ∞ are not reflexive but strictly convex. They are not isomorphic to any Lq space with 1 ≤ q ≤ ∞. They have "near zero" complemented subspaces isomorphic to lp and "in the middle" contain an asymptotically isometric copy of l1 and also a copy of L1[0, 1]. They do not have Dunford-Pettis property but they do have the weak Banach-Saks property. Cesàro function spaces on [0, 1] and [0, ∞) are isomorphic for 1 < p ≤ ∞. Moreover, we give characterizations in terms of p and q when Cesp[0, 1] contains an isomorphic copy of lq.

Place, publisher, year, edition, pages
2009. Vol. 20, no 3, 329-379 p.
Research subject
URN: urn:nbn:se:ltu:diva-3377DOI: 10.1016/S0019-3577(10)00002-9Local ID: 132d5c00-5208-11df-a0f4-000ea68e967bOAI: diva2:976235
Validerad; 2010; 20100427 (ysko)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

Open Access in DiVA

fulltext(496 kB)2 downloads
File information
File name FULLTEXT01.pdfFile size 496 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Astashkin, SergeyMaligranda, Lech
By organisation
Mathematical Science
In the same journal
Indagationes mathematicae

Search outside of DiVA

GoogleGoogle Scholar
Total: 2 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 2 hits
ReferencesLink to record
Permanent link

Direct link