Abstract
We prove that, given an index $m$, if every Pietsch integral $m$-homo\-geneous polynomial on a Banach space $E$ is nuclear, then $E$ is Asplund. The converse was proved by Alencar.
Citation
Raffaella Cilia. Joaquín Gutiérrez. "Polynomial characterization of Asplund spaces." Bull. Belg. Math. Soc. Simon Stevin 12 (3) 393 - 400, September 2005. https://doi.org/10.36045/bbms/1126195343
Information
