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

James E. Pascoe ()
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James E. Pascoe: Drexel University, Department of Mathematics

Chapter 90 in Operator Theory, 2026, pp 2803-2806 from Springer

Abstract: Abstract 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.

Keywords: Strong operator topology; Bolzano-weierstrass theorem; Sequential compactness; 47B02 (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-16356-1_90

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