NORM ATTAINING MULTILINEAR FORMS AND POLYNOMIALS ON PREDUALS OF LORENTZ SEQUENCE-SPACES

Authors
Citation
Mj. Sevilla et R. Paya, NORM ATTAINING MULTILINEAR FORMS AND POLYNOMIALS ON PREDUALS OF LORENTZ SEQUENCE-SPACES, Studia Mathematica, 127(2), 1998, pp. 99-112
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00393223
Volume
127
Issue
2
Year of publication
1998
Pages
99 - 112
Database
ISI
SICI code
0039-3223(1998)127:2<99:NAMFAP>2.0.ZU;2-A
Abstract
For each natural number N, we give an example of a Banach space X such that the set of norm attaining N-linear forms is dense in the space o f all continuous N-linear forms on X, but there are continuous (N + 1) -linear forms on X which cannot be approximated by norm attaining (N 1)-linear forms. Actually, X is the canonical predual of a suitable L orentz sequence space. We also get the analogous-result for homogeneou s polynomials.