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- W2963754511 abstract "We investigate the properties of bounded operators which satisfy a certain spectral additivity condition, and use our results to study Lie and Jordan algebras of compact operators. We prove that these algebras have nontrivial invariant subspaces when their elements have sublinear or submultiplicative spectrum, and when they satisfy simple trace conditions. In certain cases we show that these conditions imply that the algebra is (simultaneously) triangularizable." @default.
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- W2963754511 date "2009-05-01" @default.
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- W2963754511 title "Spectral conditions on Lie and Jordan algebras of compact operators" @default.
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- W2963754511 doi "https://doi.org/10.1016/j.jfa.2009.02.011" @default.
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