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On the Lk-UR and L-kR spaces

Published online by Cambridge University Press:  24 October 2008

Nan Chao-Xun  and
Wang Jian-Hua
Nan Chao-Xun
Affiliation:
Department of Mathematics, Anhui Normal University, Wuhu, Anhui, China
Wang Jian-Hua
Affiliation:
Department of Mathematics, Anhui Normal University, Wuhu, Anhui, China
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Abstract

In this paper, we prove that if X is a strictly convex Lk-UR space, then X is an L-kR space. However, the converse need not be true. Also, for each k ≥ 2, there exists a Lk-UR space which is URED but is not L-(k – 1)R.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 3 , November 1988 , pp. 521 - 526
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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