Abstract
We study bijections between algebras of smooth functions preserving certain parts of its structure. In particular, we show that multiplicative bijections are implemented by diffeomorphisms and they are automatically algebra isomorphisms. This confirms a conjecture by Mrčun and Šemrl.
Funding Statement
Research supported by DGICYT projects MTM2004-02635 and MTM2007-6994-C02-02.
JCS was supported in part by a grant of the UEx (programa propio–acción 2).
Citation
Félix Cabello Sánchez. Javier Cabello Sánchez. "Some preserver problems on algebras of smooth functions." Ark. Mat. 48 (2) 289 - 300, October 2010. https://doi.org/10.1007/s11512-009-0097-1
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