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The Grothendieck property in Marcinkiewicz spaces

Functional Analysis 2019-12-04 v1

Abstract

The main pupose of this paper is to fully characterize continuous concave functions ψ\psi such that the corresponding Marcinkiewicz Banach function space MψM_{\psi } is a Grothendieck space.

Keywords

Cite

@article{arxiv.1912.01162,
  title  = {The Grothendieck property in Marcinkiewicz spaces},
  author = {B. de Pagter and F. A. Sukochev},
  journal= {arXiv preprint arXiv:1912.01162},
  year   = {2019}
}

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24 pages