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Isomorphisms of
spaces of continuous affine functions
Cho-Ho Chu and Henry Bruce Cohen |
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Vol. 155 (1992), No. 1, 71–85
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Abstract |
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Let K and S be compact convex sets and let A(K) and A(S) be the corresponding Banach spaces of continuous affine functions. If the Banach-Mazur distance between A(K) and A(S) is less than 2, then under certain geometric conditions, the extreme boundaries of K and S are homeomorphic. This extends a result of Amir and Cambern, and has applications to function algebras. |
Mathematical Subject Classification 2000
Primary: 46E15
Secondary: 46A55, 46J10
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Milestones
Received: 27 December 1990
Revised: 3 September 1991
Published: 1 September 1992
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Authors |
| Cho-Ho Chu | |
| Henry Bruce Cohen | |
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