On a theorem of Cambern
Author:
H.-U. Hess
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
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Abstract | References | Similar Articles | Additional Information
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.
- [1] Michael Cambern, On isomorphisms with small bound, Proc. Amer. Math. Soc. 18 (1967), 1062–1066. MR 0217580, https://doi.org/10.1090/S0002-9939-1967-0217580-2
- [2] Aldo J. Lazar, Affine products of simplexes, Math. Scand. 22 (1968), 165–175 (1969). MR 0251500, https://doi.org/10.7146/math.scand.a-10880
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1978-0500490-8
Article copyright:
© Copyright 1978
American Mathematical Society
