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

Locally bounded sets of holomorphic mappings. (English) Zbl 0706.46033

Trans. Am. Math. Soc. 309, No. 2, 609-620 (1988).
Summary: 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.

Cited in 6 Documents

MSC:

46G20 Infinite-dimensional holomorphy
46E50 Spaces of differentiable or holomorphic functions on infinite-dimensional spaces

Keywords:

locally bounded sets of holomorphic mappings defined on certain classes of locally convex spaces; Baire spaces; (DF)-spaces; C(X)-spaces; classification of locally convex spaces; holomorphic analogues of barrelled and bornological properties
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\textit{J. Bonet} et al., Trans. Am. Math. Soc. 309, No. 2, 609--620 (1988; Zbl 0706.46033)
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References:

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