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Rademacher functions in BMO
Department of Mathematics and Mechanics, Samara State University.
Horton Point LLC.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
2011 (English)In: Studia Mathematica, ISSN 0039-3223, E-ISSN 1730-6337, Vol. 205, no 1, p. 83-100Article in journal (Refereed) Published
Abstract [en]

The Rademacher sums are investigated in the BMO space on [0, 1]. They span an uncomplemented subspace, in contrast to the dyadic BMOd space on [0, 1], where they span a complemented subspace isomorphic to l2. Moreover, structural properties of infinite-dimensional closed subspaces of the span of the Rademacher functions in BMO are studied and an analog of the Kadec-Pelczyński type alternative with l2 and c0 spaces is proved

Place, publisher, year, edition, pages
2011. Vol. 205, no 1, p. 83-100
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-4985DOI: 10.4064/sm205-1-6ISI: 000297090400006Scopus ID: 2-s2.0-80054084058Local ID: 3001dddb-8768-491c-a7fb-5a719e67d78dOAI: oai:DiVA.org:ltu-4985DiVA, id: diva2:977859
Note
Validerad; 2011; 20111027 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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