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The dual of the space of holomorphic functions on locally closed convex sets
Bonet, José (Universidad Politécnica de Valencia. Instituto de Matemática Pura y Aplicada)
Meise, Reinhold (Heinrich-Heine-Universität. Mathematisches Institut)
Melikhov, Sergej N. (Rostov State University. Department of Mechanics and Mathematics)

Data: 2005
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 49 n. 2 (2005) p. 487-509, ISSN 0214-1493

Adreça original:
DOI: 10.5565/PUBLMAT_49205_12
DOI: 10.5565/128388

23 p, 261.9 KB

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