Martínez Ansemil, José María and Aron, Richard M. and Ponte Miramontes, María del Socorro (1992) Spaces of holomorphic functions and germs on quotients. In Progress in Functional Analysis. North-Holland mathematics studies (170). Elsevier Science Publ. B. V., Amsterdam, pp. 163-177. ISBN 0-444-89378-4
Official URL: http://www.sciencedirect.com/science/article/pii/S0304020808703177
Abstract
Let E be a complex locally convex space, F a closed subspace, and let π be the canonical quotient mapping from E onto E/F. Let H(U) [resp. H(K)] be the set of holomorphic functions on the open set U of E [resp. the set of germs of holomorphic functions on the compact set K of E]. Let π∗ be the mapping induced by π from H(π(U)) [resp. H(π(K))] into H(U) [resp. H(K)]. π∗ is always continuous for the natural topologies; the aim of the paper is to give a survey of the results concerning when π∗ is, or is not, an embedding.
| Item Type: | Book Section |
|---|---|
| Additional Information: | INTERNATIONAL FUNCTIONAL ANALYSIS MEETING ON THE OCCASION OF THE 60TH BIRTHDAY OF PROFESSOR M VALDIVIA.PENISCOLA,OCT 22-27, 1990 |
| Uncontrolled Keywords: | holomorphic mappings on quotient spaces; compact open topology; embedding; Fréchet-Montel non-Schwartz space; Montel space |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 16818 |
| Deposited On: | 23 Oct 2012 10:19 |
| Last Modified: | 23 Oct 2012 10:19 |
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