INVESTIGADORES
CARANDO Daniel German
artículos
Título:
A Lindenstrauss theorem for some classes of multilinear mappings
Autor/es:
DANIEL CARANDO; SILVIA LASSALLE; MARTÍN MAZZITELLI
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2015 vol. 427 p. 248 - 262
ISSN:
0022-247X
Resumen:
Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multlinear ideal, then it can be approximated by multilinear mappings emph{belonging to the same ideal} all whose Arens extensions attain their norms at the same point. We prove a similar result for the class of symmetric multilinear mappings. We see that the quantitative (Bollob´as-type) version of these results fails in every multilinear ideal.