# Holomorphic functions on strict inductive limits of Banach spaces.

Revista Matemática de la Universidad Complutense de Madrid (1992)

- Volume: 5, Issue: 2-3, page 177-183
- ISSN: 1139-1138

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topDineen, Seán, and Moraes, Luiza A.. "Holomorphic functions on strict inductive limits of Banach spaces.." Revista Matemática de la Universidad Complutense de Madrid 5.2-3 (1992): 177-183. <http://eudml.org/doc/44317>.

@article{Dineen1992,

abstract = {In this article we show that a number of apparently different properties coincide on the set of holomorphic functions on a strict inductive limit (all inductive limits are assumed to be countable and proper) of Banach spaces and that they are all satisfied only in the trivial case of a strict inductive limit of finite dimensional spaces. Thus the linear properties of a strict inductive limit of Banach spaces rarely translate themselves into holomorphic properties.},

author = {Dineen, Seán, Moraes, Luiza A.},

journal = {Revista Matemática de la Universidad Complutense de Madrid},

keywords = {Funciones holomorfas; Límite inductivo; Espacios de Banach; Espacios localmente convexos; set of holomorphic functions on a strict inductive limit},

language = {eng},

number = {2-3},

pages = {177-183},

title = {Holomorphic functions on strict inductive limits of Banach spaces.},

url = {http://eudml.org/doc/44317},

volume = {5},

year = {1992},

}

TY - JOUR

AU - Dineen, Seán

AU - Moraes, Luiza A.

TI - Holomorphic functions on strict inductive limits of Banach spaces.

JO - Revista Matemática de la Universidad Complutense de Madrid

PY - 1992

VL - 5

IS - 2-3

SP - 177

EP - 183

AB - In this article we show that a number of apparently different properties coincide on the set of holomorphic functions on a strict inductive limit (all inductive limits are assumed to be countable and proper) of Banach spaces and that they are all satisfied only in the trivial case of a strict inductive limit of finite dimensional spaces. Thus the linear properties of a strict inductive limit of Banach spaces rarely translate themselves into holomorphic properties.

LA - eng

KW - Funciones holomorfas; Límite inductivo; Espacios de Banach; Espacios localmente convexos; set of holomorphic functions on a strict inductive limit

UR - http://eudml.org/doc/44317

ER -