Treffer: VECTOR SPACES OF ENTIRE FUNCTIONS OF UNBOUNDED TYPE
Title:
VECTOR SPACES OF ENTIRE FUNCTIONS OF UNBOUNDED TYPE
Authors:
Source:
Proceedings of the American Mathematical Society. 139(4):1347-1360
Publisher Information:
Providence, RI: American Mathematical Society, 2011.
Publication Year:
2011
Physical Description:
print, 14 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions d'une variable complexe, Functions of a complex variable, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Analyse fonctionnelle, Functional analysis, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Algèbre, Algebra, Espace Banach, Banach space, Espacio Banach, Espace complexe, Complex space, Espacio complejo, Espace fonctionnel, Function space, Espacio funciónes, Espace vectoriel, Vector space, Espacio vectorial, Fonction entière, Entire function, Función entera, Fonction holomorphe, Holomorphic function, Función holomorfa, Topologie, Topology, Topología, Zéro de fonction, Zero of function, Cero de función, 30Dxx, 32Axx, 32C15, 32XX, 46Bxx, Espace Fréchet, Fréchet space, Fonction vectorielle, Limite inductive, Sous espace
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
DEPARTAMENTO DE ANÁLISIS MATEMÁTICO, UNIVERSIDAD COMPLUTENSE DE MADRID, 28040 MADRID, Spain
ISSN:
0002-9939
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.23982975
Database:
PASCAL Archive
Weitere Informationen
Let E be an infinite dimensional complex Banach space. We prove the existence of an infinitely generated algebra, an infinite dimensional closed subspace and a dense subspace of entire functions on E whose non-zero elements are functions of unbounded type. We also show that the τδ topology on the space of all holomorphic functions cannot be obtained as a countable inductive limit of Fréchet spaces.