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Weak Grothendieck
compactness principle for symmetric spaces
Dauren Matin, Yerlan Nessipbayev, Fedor Sukochev and Dmitriy Zanin |
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Vol. 333 (2024), No. 1, 127–154
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Abstract |
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We strengthen and simplify the weak Grothendieck compactness principle for symmetric sequence spaces, and extend it to both symmetric function spaces and noncommutative symmetric spaces of measurable operators. |
Keywords
Grothendieck compactness principle, weak compactness,
symmetric spaces of sequences, functions and operators.
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Mathematical Subject Classification
Primary: 46A16, 46A50, 46B50, 46L52
Secondary: 54D30
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Milestones
Received: 28 November 2023
Revised: 14 November 2024
Accepted: 30 November 2024
Published: 19 December 2024
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Authors |
| Dauren Matin | |
| Department of Mathematics and
Mechanics L. N. Gumilyov Eurasian National University Astana Kazakhstan |
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| Yerlan Nessipbayev | |
| School of Mathematics and
Statistics University of New South Wales Sydney Australia |
Institute of Mathematics and
Mathematical Modeling Almaty Kazakhstan |
| Fedor Sukochev | |
| School of Mathematics and
Statistics University of New South Wales Sydney Australia |
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| Dmitriy Zanin | |
| School of Mathematics and
Statistics University of New South Wales Sydney Australia |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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