RT Journal Article
T1 Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces.
A1 Jiménez Sevilla, María Del Mar
A1 Payá Albert, Rafael
AB 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 of 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 Lorentz sequence space. We also get the analogous result for homogeneous polynomials.
PB Polish Acad Sciencies Inst Mathematics
SN 0039-3223
YR 1998
FD 1998
LK https://hdl.handle.net/20.500.14352/58665
UL https://hdl.handle.net/20.500.14352/58665
LA eng
NO DGICYT
DS Docta Complutense
RD 7 abr 2025