English

Reflexivity and non-weakly null maximizing sequences

Functional Analysis 2019-06-06 v1

Abstract

We introduce and explore a new property related to reflexivity that plays an important role in the characterization of norm attaining operators. We also present an application to the theory of compact perturbations of linear operators and characterize norm attaining scalar-valued continuous 22-homogeneous polynomials on 2\ell_{2}.

Keywords

Cite

@article{arxiv.1906.02162,
  title  = {Reflexivity and non-weakly null maximizing sequences},
  author = {Richard M. Aron and Domingo García and Daniel Pellegrino and Eduardo V. Teixeira},
  journal= {arXiv preprint arXiv:1906.02162},
  year   = {2019}
}

Comments

10 pages, Accepted for publication in the Proceedings of the AMS

R2 v1 2026-06-23T09:43:48.304Z