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Let (X, f) be a dynamical system and its functional envelope, where f is continuous. We prove the stabilities of the functional envelope
defined by
for any
. And we also obtain some results for the derivations of function spaces.
2000 Mathematics Subject Classification::
3. The first author was supported by the second stage of the Brain Korea 21 Project, The Development Project of Human Resources in Mathematics, KAIST in 2008.
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