On the second dual of the approximable regular operators

We investigate necessary and sufficient conditions on the geometry of a Banach lattice X under which the bidual of the algebra of approximable regular operators on X is naturally isometrically isomorphic, as a Banach lattice algebra, to the algebra of regular operators on X''.

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Publication Details

Journal
Quaestiones Mathematicae
Published
2026-09-11
DOI
https://doi.org/10.2989/16073606.2026.2718465
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On the second dual of the approximable regular operators

A. Blanco
Quaestiones Mathematicae
Advanced Banach Space Theory
article

On the second dual of the approximable regular operators

A. Blanco
article en

Abstract

We investigate necessary and sufficient conditions on the geometry of a Banach lattice X under which the bidual of the algebra of approximable regular operators on X is naturally isometrically isomorphic, as a Banach lattice algebra, to the algebra of regular operators on X''.

Quaestiones Mathematicae
Queen's University Belfast (GB)
Openalex Percentile: Top 5%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
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