The Grothendieck property in Marcinkiewicz spaces

The main purpose of this paper is to fully characterize continuous concave functions ψ such that the corresponding Marcinkiewicz Banach function space Mψ is a Grothendieck space.

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Bibliographic Details
Published in:Indagationes mathematicae 2020-09, Vol.31 (5), p.791-808
Main Authors: de Pagter, B., Sukochev, F.A.
Format: Article
Language:English
Subjects:
Banach function space
Banach lattice
Continuity (mathematics)
Function space
Grothendieck space
Marcinkiewicz space
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Description
Summary:The main purpose of this paper is to fully characterize continuous concave functions ψ such that the corresponding Marcinkiewicz Banach function space Mψ is a Grothendieck space.
ISSN:0019-3577
1872-6100
DOI:10.1016/j.indag.2020.01.008