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

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

James E. Pascoe
Operator Theory, pp 2803-2806
2026

Abstract

47B02 Bolzano-weierstrass theorem Sequential compactness Strong operator topology
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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