Collective order convergence and collectively qualified sets of operators Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2026, Volume: 23, Number: 1, Pages: 289-297 Pages count : 9 DOI: 10.33048/semi.2026.23.018 | ||
| Tags | vector lattice, order convergence, collectively qualified set of operators. | ||
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0022 |
Abstract:
Collective versions of order convergences and corresponding types of collectively qualified sets of operators in vector lattices are investigated. It is proved that collectively order to norm bounded sets are bounded in the operator norm and collectively order continuous sets are collectively order bounded.
Cite:
Emelyanov E.Y.
Collective order convergence and collectively qualified sets of operators
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2026. V.23. N1. P.289-297. DOI: 10.33048/semi.2026.23.018
Collective order convergence and collectively qualified sets of operators
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2026. V.23. N1. P.289-297. DOI: 10.33048/semi.2026.23.018
Dates:
| Submitted: | Sep 5, 2024 |
| Published print: | Apr 14, 2026 |
| Published online: | Apr 14, 2026 |
Identifiers:
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