IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
On the polynomial Lindenstrauss theorem
Autor/es:
DANIEL CARANDO; SILVIA LASSALLE; MARTÍN MAZZITELLI
Revista:
JOURNAL OF FUNCTIONAL ANALYSIS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2012 vol. 263 p. 1809 - 1824
ISSN:
0022-1236
Resumen:
Under certain hypotheses on the Banach space X, we show that the set of N-homogeneous polynomials from X to any dual space, whose Aron?Berner extensions are norm attaining, is dense in the space of all continuous N-homogeneous polynomials. To this end we prove an integral formula for the duality between tensor products and polynomials. We also exhibit examples of Lorentz sequence spaces for which there is no polynomial Bishop?Phelps theorem, but our results apply. Finally we address quantitative versions, in the sense of Bollobás, of these results.
