Locally bounded sets of holomorphic mappings

Bonet, José; Galindo, Pablo; García, Domingo; Maestre, Manuel

doi:10.1090/S0002-9947-1988-0961603-8

Locally bounded sets of holomorphic mappings
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by José Bonet, Pablo Galindo, Domingo García and Manuel Maestre PDF

Trans. Amer. Math. Soc. 309 (1988), 609-620 Request permission

Abstract:

Several results and examples about locally bounded sets of holomorphic mappings defined on certain classes of locally convex spaces (Baire spaces, $(DF)$-spaces, $C(X)$-spaces) are presented. Their relation with the classification of locally convex spaces according to holomorphic analogues of barrelled and bornological properties of the linear theory is considered.

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