Compact convex sets and complex convexity (Q1098049)
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scientific article; zbMATH DE number 4036452
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact convex sets and complex convexity |
scientific article; zbMATH DE number 4036452 |
Statements
Compact convex sets and complex convexity (English)
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1987
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The author constructs a non-empty compact absolutely convex set K in a complex quasi-Banach space which has no extreme-points and cannot be affinely embedded into the space of all measurable functions. Further this K has the property that every continuous plurisubharmonic function on K is constant.
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quasi-Banach spaces
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compact absolutely convex set
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complex quasi-Banach space
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space of all measurable functions
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continuous plurisubharmonic function
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0.9382665
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0.9150585
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