Structure of spaces of germs of holomorphic functions.
Van Khue, Nguyen ; Thien Danh, P.
Publicacions Matemàtiques, Tome 41 (1997), p. 467-480 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(OE)]' ∈ (Ω) (resp. [H(OE)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if Hb(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].

Publié le : 1997-01-01
DMLE-ID : 3845 
@article{urn:eudml:doc:41312,
     title = {Structure of spaces of germs of holomorphic functions.},
     journal = {Publicacions Matem\`atiques},
     volume = {41},
     year = {1997},
     pages = {467-480},
     mrnumber = {MR1485496},
     zbl = {0901.32007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41312}
}

Van Khue, Nguyen; Thien Danh, P. Structure of spaces of germs of holomorphic functions.. Publicacions Matemàtiques, Tome 41 (1997) pp. 467-480. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41312/