Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-13T04:46:15.945Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Structure of the Set of Symmetric Sequences in Orlicz Sequence Spaces

Published online by Cambridge University Press:  20 November 2018

Bünyamin Sari
Bünyamin Sari*
Affiliation:
Department of Mathematics, University of North Texas, Denton, TX 76203, U.S.A. e-mail: bunyamin@unt.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We study the structure of the sets of symmetric sequences and spreading models of an Orlicz sequence space equipped with partial order with respect to domination of bases. In the cases that these sets are “small”, some descriptions of the structure of these posets are obtained.

Keywords

46B2046B4546B07
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 1 , 01 March 2007 , pp. 138 - 148
Copyright
Copyright © Canadian Mathematical Society 2007

References

[AOST] Androulakis, G., Odell, E., Schlumprecht, T. and Tomczak-Jaegermann, N., On the structure of spreading models of a Banach space. Canad. J. Math. 57(2005), no. 4, 673–707.Google Scholar
[DOS] Dilworth, S. J., Odell, E. and Sari, B., Lattice structures and spreading models. Israel J. Math., to appear.Google Scholar
[FPR] Ferenczi, V., Pelczar, A. M. and Rosendal, C., On a question of Haskell P. Rosenthal concerning a characterization of c0 and ℓ p , Bull. London Math. Soc. 36 (2004), no. 3, 396–406.Google Scholar
[LT] Lindenstrauss, J. and Tzafriri, L., Classical Banach Spaces. I. Ergebnisse der Mathematik und ihrer Grenzgebiete 92, Springer-Verlag, Berlin, 1977.Google Scholar
[S] Sari, B., On Banach spaces with few spreading models. Proc. Amer. Math. Soc. 134(2006), no. 5, 1339–1345.Google Scholar