On the commutant of $B(H)$ in its ultrapower
Functional Analysis
2021-08-05 v1 Logic
Abstract
Let be the algebra of bounded linear operators on a separable infinite-dimensional Hilbert space . We study the commutant of 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.
Cite
@article{arxiv.2108.02168,
title = {On the commutant of $B(H)$ in its ultrapower},
author = {Emmanuel Chetcuti and Beatriz Zamora-Aviles},
journal= {arXiv preprint arXiv:2108.02168},
year = {2021}
}
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