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We give a Bolzano-Weierstrass type theorem in the strong operator topology modulo unitary conjugation. That is, given a bounded sequence of tuples of operators, there exists a subsequence converging strongly after an independent change of basis on each tuple in the sequence.

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The Sequential Compactness Theorem Modulo Unitary Conjugation in the Strong Operator Topology

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  • 发表日期：

    2025年

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  • J. E. Pascoe

摘要

We give a Bolzano-Weierstrass type theorem in the strong operator topology modulo unitary conjugation. That is, given a bounded sequence of tuples of operators, there exists a subsequence converging strongly after an independent change of basis on each tuple in the sequence.