Collective order convergence and collectively qualified sets of operators
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908377084329984 |
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| author | Emelyanov, Eduard |
| author_facet | Emelyanov, Eduard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03671 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Collective order convergence and collectively qualified sets of operators Emelyanov, Eduard Functional Analysis 46A40, 46B42, 47B60 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. |
| title | Collective order convergence and collectively qualified sets of operators |
| topic | Functional Analysis 46A40, 46B42, 47B60 |
| url | https://arxiv.org/abs/2408.03671 |