The ℓ1-indices of Tsirelson type spaces

Please use this identifier to cite or link to this item: https://doi.org/10.1090/S0002-9939-02-06586-3

DC Field	Value
dc.title	The ℓ1-indices of Tsirelson type spaces
dc.contributor.author	Leung, D.H.
dc.contributor.author	Tang, W.-K.
dc.date.accessioned	2014-10-28T02:51:59Z
dc.date.available	2014-10-28T02:51:59Z
dc.date.issued	2003-02
dc.identifier.citation	Leung, D.H., Tang, W.-K. (2003-02). The ℓ1-indices of Tsirelson type spaces. Proceedings of the American Mathematical Society 131 (2) : 511-521. ScholarBank@NUS Repository. https://doi.org/10.1090/S0002-9939-02-06586-3
dc.identifier.issn	00029939
dc.identifier.uri	http://scholarbank.nus.edu.sg/handle/10635/104642
dc.description.abstract	If α and β are countable ordinals such that β ≠ 0, denote by T̃α,β the completion of c00 with respect to the implicitly defined norm ∥x∥ = max{∥x∥Sα, 1/2 sup ∑i=1 i ∥Eix∥}, where the supremum is taken over all finite subsets E1,..., Ej of ℕ such that E1 α = ωα1·m1+...+ωαn ·mn in Cantor normal form and αn is not a limit ordinal, then there exists a Banach space whose ℓ1-index is ωα.
dc.description.uri	http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1090/S0002-9939-02-06586-3
dc.source	Scopus
dc.type	Conference Paper
dc.contributor.department	MATHEMATICS
dc.description.doi	10.1090/S0002-9939-02-06586-3
dc.description.sourcetitle	Proceedings of the American Mathematical Society
dc.description.volume	131
dc.description.issue	2
dc.description.page	511-521
dc.identifier.isiut	000178827000023
Appears in Collections:	Staff Publications

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