%0 Book Section
%T Spaces of holomorphic functions and germs on quotients
publisher Elsevier Science Publ. B. V.
%D 1992
%U 0-444-89378-4
%@ https://hdl.handle.net/20.500.14352/60576
%X 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.
%~