Abstract
It is proved that every Orlicz sequence space contains a subspace isomorphic to somel p . The question of uniqueness of symmetric bases in Orlicz sequence spaces is investigated.
Similar content being viewed by others
References
Y. Gribanov,On the theory of l M spaces, Ucen. Zap. Kazansk. un-ta117, (1957), 62–65 (Russian).
M. A. Krasnoselskii and Ya. B. Rutickii,Convex Functions and Orlicz Spaces, Groningen (The Netherlands), 1961 (translated from Russian).
K. J. Lindberg,Contractive projections in Orlicz sequence spaces and continuous function spaces, Ph.D. thesis, University of California, Berkeley, 1970.
J. Lindenstrauss,Some aspects of the theory of Banach spaces, Advances in Math.5 (1970) 159–180.
J. Lindenstrauss and M. Zippin,Banach spaces with a unique unconditional basis, J. Functional Analysis3 (1969), 115–125.
V. D. Milman,Geometric theory of Banach spaces I, Russian Math. Surveys25 (1970) 111–170.
A. Pełczyński,On the isomorphism of the spaces m and M, Bull. Acad. Polon. Sci.6 (1958), 695–696.
I. Singer,Bases in Banach Spaces I, Springer Verlag, 1970.
M. Zippin,On perfectly homogeneous bases in Banach spaces, Israel J. Math.4 (1966), 265–272.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lindenstrauss, J., Tzafriri, L. On orlicz sequence spaces. Israel J. Math. 10, 379–390 (1971). https://doi.org/10.1007/BF02771656
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02771656