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A Remark on Complex Convexity*

Published online by Cambridge University Press:  20 November 2018

Camino Leranoz
Camino Leranoz*
Affiliation:
Department of Mathematics, University of missouri-ColumbiaCOlumbia, Missouri 65211, USA
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Abstract

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We present a quasi-normed space which is locally H∞-convex but is not locally PL-convex in the sense of Davis, Garling and Tomczak-Jaegermann.

Keywords

46A06
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 3 , 01 September 1988 , pp. 322 - 324
Copyright
Copyright © Canadian Mathematical Society 1988

Footnotes

*

Results of this paper will form part of the author's Ph.D. thesis, currently under preparation at the University of Missouri-Columbia, under the direction of Professor N. Kalton.

References

1. Aleksandrov, A. B., Essays on non-locally convex Hardy classes, Lecture Notes in Mathematics 864, pp. 1–89 (Springer-Verlag, 1981).Google Scholar
2. Davis, W. J., Garling, D. J. H. and N. Tomczak-Jaegermann, The complex convexity of quasi-normed linear spaces, J. Funct. Anal. 55 (1984), pp. 110–150.Google Scholar