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RESEARCH PRODUCT

Grothendieck-type subsets of Banach lattices

Vinícius C.c. MirandaPablo Galindo

subject

Pure mathematicsApplied MathematicsLinear operatorsType (model theory)AnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2022-02-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2021.125570