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An Example in the Theory of Bilinear Maps

Published online by Cambridge University Press:  20 November 2018

N. J. Kalton
N. J. Kalton*
Affiliation:
Department of Mathematics, University of Missouri—Columbia Columbia, MO 65211 U.S.A
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Abstract

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We give an example of a p-convex quasi-Banach space E with 0 < p < 1 such that every bilinear map B: E × E →F into a p-convex quasi-Banach space F is identically zero. This resolves a question of Waelbroeck.

Keywords

46A10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 3 , 01 September 1982 , pp. 377 - 379
Copyright
Copyright © Canadian Mathematical Society 1982

References

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