Geodesic
Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
Annales Polonici Mathematici, Tome 71 (1999) no. 2, p. 105.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection $π_1 : V → Γ$ is finite and proper, then $R_V : O(Γ × G) → Im R_V ⊂ O(V)$ has a right inverse
DOI : 10.4064/ap-71-2-105
Keywords: complex Lie group, linear topological invariant, right inverse

Do Thai 1 ; Dinh Hoang 1

1 
@article{10_4064_ap_71_2_105,
     author = {Do Thai and Dinh Hoang},
     title = {Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex {Lie} group},
     journal = {Annales Polonici Mathematici},
     pages = {105--105},
     publisher = {mathdoc},
     volume = {71},
     number = {2},
     year = {1999},
     doi = {10.4064/ap-71-2-105},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-105/}
}
TY  - JOUR
AU  - Do Thai
AU  - Dinh Hoang
TI  - Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
JO  - Annales Polonici Mathematici
PY  - 1999
SP  - 105
EP  - 105
VL  - 71
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-105/
DO  - 10.4064/ap-71-2-105
LA  - en
ID  - 10_4064_ap_71_2_105
ER  - 
%0 Journal Article
%A Do Thai
%A Dinh Hoang
%T Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
%J Annales Polonici Mathematici
%D 1999
%P 105-105
%V 71
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-105/
%R 10.4064/ap-71-2-105
%G en
%F 10_4064_ap_71_2_105
Do Thai; Dinh Hoang. Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group. Annales Polonici Mathematici, Tome 71 (1999) no. 2, p. 105. doi : 10.4064/ap-71-2-105. http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-105/

Cité par Sources :