An Example in the Theory of Bilinear Maps
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 377-379
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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.
Kalton, N. J. An Example in the Theory of Bilinear Maps. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 377-379. doi: 10.4153/CMB-1982-056-2
@article{10_4153_CMB_1982_056_2,
author = {Kalton, N. J.},
title = {An {Example} in the {Theory} of {Bilinear} {Maps}},
journal = {Canadian mathematical bulletin},
pages = {377--379},
year = {1982},
volume = {25},
number = {3},
doi = {10.4153/CMB-1982-056-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-056-2/}
}
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