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If $F$ is a Frechet space, is there any locally convex space topology on the dual
$F'$, such that for each local diffeomorphism $f$ from an open subset $U$ of $F$ to $F$,
the map $U * F' \longrightarrow F'$$U \times F' \longrightarrow F'$ is smooth?
If $F$ is a Frechet space, is there any locally convex space topology on the dual
$F'$, such that for each local diffeomorphism $f$ from an open subset $U$ of $F$ to $F$,
the map $U * F' \longrightarrow F'$ is smooth?
If $F$ is a Frechet space, is there any locally convex space topology on the dual
$F'$, such that for each local diffeomorphism $f$ from an open subset $U$ of $F$ to $F$,
the map $U \times F' \longrightarrow F'$ is smooth?
If F$F$ is a Frechet space, is there any locally convex space topology on the dual
F'$F'$, such that for each local diffeomorphism f$f$ from an open subset U$U$ of F$F$ to F$F$, the
the map U * F'-----> F'$U * F' \longrightarrow F'$ is smooth?
If F is a Frechet space, is there any locally convex space topology on the dual
F', such that for each local diffeomorphism f from an open subset U of F to F , the map U * F'-----> F' is smooth?
If $F$ is a Frechet space, is there any locally convex space topology on the dual
$F'$, such that for each local diffeomorphism $f$ from an open subset $U$ of $F$ to $F$,
the map $U * F' \longrightarrow F'$ is smooth?
