Non-equivalent greedy and almost greedy bases in lp

Autor: Stephen J. Dilworth, Mark Hoffmann, Denka N. Kutzarova
Jazyk: angličtina
Rok vydání: 2006
Předmět:
Zdroj: Journal of Function Spaces and Applications, Vol 4, Iss 1, Pp 25-42 (2006)
Druh dokumentu: article
ISSN: 0972-6802
DOI: 10.1155/2006/368648
Popis: For 1 < p < 8 and p ? 2 we construct a family of mutually non-equivalent greedy bases in lp having the cardinality of the continuum. In fact, no basis from this family is equivalent to a rearranged subsequence of any other basis thereof. We are able to extend this statement to the spaces Lp and H1. Moreover, the technique used in the proof adapts to the setting of almost greedy bases where similar results are obtained.
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