A note on ideals of operators
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- by Richard I. Loebl PDF
- Proc. Amer. Math. Soc. 96 (1986), 62-64 Request permission
Abstract:
An ideal $I$ of $L\left ( H \right )$ is said to be multiplicatively prime if $AXB \in I$ for all $X \in L\left ( H \right )$ implies $A$ or $B$ is in $I$. The only normable multiplicatively prime ideals are 0 and $K$, the compacts. Multiplicative primeness is related to other properties an ideal may possess.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 62-64
- MSC: Primary 47D25
- DOI: https://doi.org/10.1090/S0002-9939-1986-0813810-6
- MathSciNet review: 813810