naa a22 4500 51076097X CHVBK 20180411083139.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-012-0095-x doi (NATIONALLICENCE)springer-10.1007/s13163-012-0095-x On real analytic functions of unbounded type [Elektronische Daten] [J. Ansemil, J. López-Salazar, S. Ponte] In this paper we prove several results on the existence of analytic functions on an infinite dimensional real Banach space which are bounded on some given collection of open sets and unbounded on others. In addition, we also obtain results on the density of some subsets of the space of all analytic functions for natural locally convex topologies on this space. Revista Matemática Complutense, 2012 Banach space nationallicence Analytic function nationallicence Ansemil J. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain aut López-Salazar J. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain aut Ponte S. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain aut Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 549-560 1139-1138 26:2<549 2013 26 13163 https://doi.org/10.1007/s13163-012-0095-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0095-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ansemil J. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain aut NATIONALLICENCE 700 1- López-Salazar J. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain aut NATIONALLICENCE 700 1- Ponte S. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 549-560 1139-1138 26:2<549 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer