Radjavi's trace condition for triangularizability (Q580684)
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scientific article; zbMATH DE number 4017685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Radjavi's trace condition for triangularizability |
scientific article; zbMATH DE number 4017685 |
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Radjavi's trace condition for triangularizability (English)
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1987
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Some extensions of triangularizability conditions are obtained. In such a way, it is proved that Radjavi's commuting trace condition is equivalent to triangularizability for a semigroup of finite rank transformations on a possibly infinite-dimensional vector space. Also, some results of Laurie, Nordgren, Radjavi and Rosenthal about triangularizability of a norm closed algebra of compact operators on a Hilbert space are extended. Compairing the algebraic and the operator theoretic results, in the end of the paper two questions arise.
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extensions of triangularizability conditions
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Radjavi's commuting trace condition
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triangularizability for a semigroup of finite rank transformations on a possibly infinite-dimensional vector space
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triangularizability of a norm closed algebra of compact operators on a Hilbert space
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