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Structure of Cesaro function spaces: a survey
Department of Mathematics and Mechanics, Samara State University, Department of Mathematics, Samara State University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
2014 (English)In: Banach Center Publications, ISSN 0137-6934, E-ISSN 1730-6299, Vol. 102, 13-40 p.Article in journal (Refereed) Published
Abstract [en]

Summary. Geometric structure of Cesàro function spaces Ces_p(I), where I = [0, 1] and [0,\infty), is investigated. Among other matters we present a description of their dual spaces, characterize the sets of all q such that Ces_p[0, 1] contains isomorphic and complemented copies of lq-spaces, show that Cesàro function spaces fail the fixed point property, give a description of subspaces generated by Rademacher functions in spaces Ces_p[0, 1].

Place, publisher, year, edition, pages
2014. Vol. 102, 13-40 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-12641DOI: 10.4064/bc102-0-1Local ID: bcd85bb0-b763-4166-aaca-64374424bdb6OAI: oai:DiVA.org:ltu-12641DiVA: diva2:985592
Note
Validerad; 2015; Nivå 1; 20141125 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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