RT Book, Section T1 Spaces of holomorphic functions and germs on quotients A1 Ansemil, José María M. A1 Aron, Richard M. A1 Ponte, Socorro A2 Bierstedt, K.D. A2 Bonet, J. A2 Horvát, J. A2 Maestre, M AB 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. PB Elsevier Science Publ. B. V. SN 0-444-89378-4 YR 1992 FD 1992 LK https://hdl.handle.net/20.500.14352/60576 UL https://hdl.handle.net/20.500.14352/60576 NO INTERNATIONAL FUNCTIONAL ANALYSIS MEETING ON THE OCCASION OF THE 60TH BIRTHDAY OF PROFESSOR M VALDIVIA.PENISCOLA,OCT 22-27, 1990 NO D. G. I. C. Y. T. DS Docta Complutense RD 5 may 2024