Ideals of polynomials generated by weakly compact operators

Authors

  • Geraldo Botelho

DOI:

https://doi.org/10.1285/i15900932v25n1p69

Keywords:

Ideals of polynomials, Weakly compact operators, Weakly compact polynomials

Abstract

The aim of these notes is to describe the properties and the relationships between the classes of homogeneous polynomials between Banach spaces which are generated by the ideal of all weakly compact operators, namely, the class of weakly compact polynomials and the class of polynomials which the factorization and the linearization methods generate by the ideal of all weakly compact operators. Containment relationships with ideals of absolutely summing polynomials are also investigated.

Downloads

Published

01-01-2006

Issue

Volume 25, Issue 1 (2006)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode