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Orlicz sequence spaces without local convexity

Published online by Cambridge University Press:  24 October 2008

N. J. Kalton
N. J. Kalton
Affiliation:
University College of Swansea
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Extract

In this paper we continue the study of Orlicz sequence spaces initiated by Lindberg (5) and Lindenstrauss and Tzafriri (7), (8) and (9). Our main concern is to investigate features of the theory which occur when the restriction of local convexity is lifted. It is clear that some results will hold with identical proofs, at least when the space is locally bounded. However, we are chiefly interested in the differences which arise. We always assume that the Orlicz function F satisfies the Δ2-condition.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 2 , March 1977 , pp. 253 - 277
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

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