Holomorphic mappings of uniformly bounded type and the linear topological invariants $(H_{ub})$, $(LB^\infty)$ and $(DN)$

Le Mau Hai, Nguyen Van Khue and Bui Quoc Hoan

Abstract: The main aim of this paper is to establish the equalities
$$ \eqalign{
H_b(E,F) &= H_{ub}(E,F)\cr H_b(E_\beta^*, F_\beta^*) &= H_{ub}(E_\beta^*, F_\beta^*)\cr} $$
for the case where $E$ and $F$ are Fréchet spaces in the relation with the linear topological invariants $(H_{ub})$, $(LB^\infty)$ and $(DN)$.

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