Grothendieck-type subsets of Banach lattices

Pablo Galindo; V. C. C. Miranda

Grothendieck-type subsets of Banach lattices

Functional Analysis 2021-01-19 v1

Authors: Pablo Galindo , V. C. C. Miranda

Abstract

In the setting of Banach lattices the weak (resp. positive) Grothendieck spaces have been defined. We localize such notions by defining new classes of sets that we study and compare with some quite related different classes. This allows us to introduce and compare the corresponding linear operators.

Keywords

banach lattices grothendieck spaces weak grothendieck positive grothendieck sets classes linear operators

Cite

@article{arxiv.2101.06677,
  title  = {Grothendieck-type subsets of Banach lattices},
  author = {Pablo Galindo and V. C. C. Miranda},
  journal= {arXiv preprint arXiv:2101.06677},
  year   = {2021}
}

Comments

18 pages

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