Structure of spaces of germs of holomorphic functions.

Van Khue, Nguyen, and Thien Danh, P.. "Structure of spaces of germs of holomorphic functions.." Publicacions Matemàtiques 41.2 (1997): 467-480. <http://eudml.org/doc/41312>.

@article{VanKhue1997,
abstract = {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].},
author = {Van Khue, Nguyen, Thien Danh, P.},
journal = {Publicacions Matemàtiques},
keywords = {Funciones holomorfas; Gérmenes de funciones; Espacios de Frechet; Espacios vectoriales topológicos; Espacios de Banach; germ of holomorphic functions; Frechet space; Frechet-Hilbert space},
language = {eng},
number = {2},
pages = {467-480},
title = {Structure of spaces of germs of holomorphic functions.},
url = {http://eudml.org/doc/41312},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Van Khue, Nguyen
AU - Thien Danh, P.
TI - Structure of spaces of germs of holomorphic functions.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 2
SP - 467
EP - 480
AB - 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].
LA - eng
KW - Funciones holomorfas; Gérmenes de funciones; Espacios de Frechet; Espacios vectoriales topológicos; Espacios de Banach; germ of holomorphic functions; Frechet space; Frechet-Hilbert space
UR - http://eudml.org/doc/41312
ER -