A note on multiplicatively prime ideals of operators
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- by Pei-Kee Lin PDF
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Abstract:
An ideal $\mathcal {I}$ of $\mathcal {L}(\mathcal {H})$ is said to be multiplicatively prime if $AXB \in \mathcal {I}$ for all $X \in \mathcal {L}(\mathcal {H})$ implies $A$ or $B$ is in $\mathcal {I}$. In this paper, we show there exists a nonnorm multiplicatively prime ideal other than $\mathcal {F}$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 462-464
- MSC: Primary 47D25
- DOI: https://doi.org/10.1090/S0002-9939-1987-0908649-8
- MathSciNet review: 908649