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arXiv:2108.02168 [math.FA]AbstractReferencesReviewsResources

On the commutant of $B(H)$ in its ultrapower

Emmanuel Chetcuti, Beatriz Zamora-Aviles

Published 2021-08-04Version 1

Let $B(H)$ be the algebra of bounded linear operators on a separable infinite-dimensional Hilbert space $H$. We study the commutant of $B(H)$ in its ultrapower. We characterize the class of non-principal ultrafilters for which this commutant is non-trivial. Additionally, we extend the class of ultrafilters for which the commutant is trivial.

Comments: Comments are welcome!
Categories: math.FA, math.LO
Subjects: 46L05, 03E50
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