论文信息 - On the commutant of $B(H)$ in its ultrapower

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

Let B(H) be the algebra of bounded linear operators on a separable infinitedimesional 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.

Emmanuel Chetcuti | Beatriz Zamora-Aviles

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