Treffer: The dual of the space of holomorphic functions on localy closed convex sets: The dual of the space of holomorphic functions on locally closed convex sets

Title:
The dual of the space of holomorphic functions on localy closed convex sets: The dual of the space of holomorphic functions on locally closed convex sets
Authors:
Bonet, José, Meise, R., Melikhov, S. N.
Source:
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Publicacions Matemàtiques; Vol. 49, Núm. 2 (2005); p. 487-509
Publisher Information:
Universitat Autonoma de Barcelona, 2005.
Publication Year:
2005
Subject Terms:
Inductive and projective limits in functional analysis, convolution operator, Laplace transform, multiplication operator, space of holomorphic germs, Spaces defined by inductive or projective limits (LB, LF, etc.), Topological linear spaces of continuous, differentiable or analytic functions, projective description, surjectivity
Document Type:
Fachzeitschrift Article
File Description:
application/pdf; application/xml
Language:
English
ISSN:
0214-1493
DOI:
10.5565/publmat_49205_12
DOI:
10.5565/128388
Access URL:
https://ddd.uab.cat/pub/pubmat/02141493v49n2/02141493v49n2p487.pdf
https://ddd.uab.cat/record/5117
http://hdl.handle.net/2072/380993
https://ddd.uab.cat/record/5117?ln=es
https://documat.unirioja.es/servlet/articulo?codigo=1327357
http://jbonet.webs.upv.es/wp-content/uploads/2011/07/2005mainz.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1327357
http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_49205_12
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/128388
Rights:
CC 0
URL: http://rightsstatements.org/vocab/InC/1.0/
Accession Number:
edsair.doi.dedup.....4f36fc2524faa165f93cd25bcbeaf13c
Database:
OpenAIRE

Weitere Informationen

Let H(Q) be the space of all the functions which are holomorphic on an open neighbourhood of a convex locally closed subset Q of CN , endowed with its natural projective topology. We characterize when the topology of the weighted inductive limit of Fréchet spaces which is obtained as the Laplace transform of the dual H(Q) 0 of H(Q) can be described by weighted sup-seminorms. The behaviour of the corresponding inductive limit of spaces of continuous functions is also investigated.