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arXiv · 2408.03671

Collective order convergence and collectively qualified sets of operators

Eduard Emelyanov
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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.

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Eduard Emelyanov. 2024-08-07. Collective order convergence and collectively qualified sets of operators. https://arxiv.org/abs/2408.03671

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