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Abstract Cesàro spaces: Duality
Institute of Mathematics of Electric Faculty, Poznań University of Technology.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
2015 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 424, no 2, p. 932-951Article in journal (Refereed) Published
Abstract [en]

We study abstract Cesàro spaces CX , which may be regarded as generalizations of Cesàro sequence spaces cespcesp and Cesàro function spaces Cesp(I)Cesp(I) on I=[0,1]I=[0,1] or I=[0,∞)I=[0,∞), and also as the description of optimal domain from which Cesàro operator acts to X . We find the dual of such spaces in a very general situation. What is however even more important, we do it in the simplest possible way. Our proofs are more elementary than the known ones for cespcesp and Cesp(I)Cesp(I). This is the point how our paper should be seen, i.e. not as a generalization of known results, but rather like grasping and exhibiting the general nature of the problem, which is not so easily visible in previous publications. Our results show also an interesting phenomenon that there is a big difference between duality in the cases of finite and infinite intervals.

Place, publisher, year, edition, pages
2015. Vol. 424, no 2, p. 932-951
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5849DOI: 10.1016/j.jmaa.2014.11.023Local ID: 408c554e-645f-49a0-bd9a-0ab4d99c7c21OAI: oai:DiVA.org:ltu-5849DiVA: diva2:978725
Note
Validerad; 2015; Nivå 2; 20141113 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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