Compact convex sets and complex convexity |
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| Authors: | N. J. Kalton |
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| Affiliation: | (1) Department of Mathematics, University of South Carolina, 29208 Columbia, SC, USA;(2) Present address: Department of Mathematics, University of Missouri, 65211 Columbia, MO, USA |
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| Abstract: | We construct a quasi-Banach space which cannot be given an equivalent plurisubharmonic quasi-norm, but such that it has a quotient by a one-dimensional space which is a Banach space. We then use this example to construct a compact convex set in a quasi-Banach space which cannot be affinely embedded into the spaceL 0 of all measurable functions. |
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