Definition talk:Convergent Sequence in Weak Operator Topology

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Role of topology

My book does not provide too many details about these weak/strong topology concepts. From what I gather, the strength/weakness of topology determines whether you can talk directly about the convergence of sequences of operators themselves or indirectly by their images or otherwise. The relevance of continuity in a given topology is beyond my grasp. At the moment I can only document what I have and then move back to a standard topic.--Julius (talk) 10:07, 2 February 2023 (UTC)

Fair comment. I will leave the template in place as a placeholder for someone to resolve who knows their way around this area. --prime mover (talk) 10:09, 2 February 2023 (UTC)