On a theorem of Cambern
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- by H.-U. Hess PDF
- Proc. Amer. Math. Soc. 71 (1978), 204-206 Request permission
Abstract:
It is shown that Cambern’s generalized Banach-Stone theorem for spaces of continuous functions on compact sets cannot be extended to the case of spaces of continuous affine functions on simplexes.References
- Michael Cambern, On isomorphisms with small bound, Proc. Amer. Math. Soc. 18 (1967), 1062–1066. MR 217580, DOI 10.1090/S0002-9939-1967-0217580-2
- Aldo J. Lazar, Affine products of simplexes, Math. Scand. 22 (1968), 165–175 (1969). MR 251500, DOI 10.7146/math.scand.a-10880
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 71 (1978), 204-206
- MSC: Primary 46A55; Secondary 46E15
- DOI: https://doi.org/10.1090/S0002-9939-1978-0500490-8
- MathSciNet review: 500490