English

Aron-Berner extensions of almost Dunford-Pettis multilinear operators

Functional Analysis 2022-10-06 v1

Abstract

We prove several results establishing conditions on the Banach lattices E_1,..., E_m and F so that the Aron-Berner extensions of (separately) almost Dunford-Pettis m-linear operators from E_1 x ... x E_m to F are (separately) almost Dunford-Pettis. Illustrative examples are provided.

Keywords

Cite

@article{arxiv.2210.01876,
  title  = {Aron-Berner extensions of almost Dunford-Pettis multilinear operators},
  author = {Geraldo Botelho and Luis Alberto Garcia},
  journal= {arXiv preprint arXiv:2210.01876},
  year   = {2022}
}

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17 pages