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- W4246483323 abstract "For a bounded invertible linear operator A let ${mathcal {B}_A}$ consist of those operators X for which $sup { left | {{A^n}X{A^{ - n}}} right |:n geqslant 0} > infty$. It is shown that ${mathcal {B}_A}$ contains the ideal of compact operators if and only if A is similar to a scalar multiple of a unitary operator. Also, if A is invertible and either has a one-point spectrum or is positive definite then ${mathcal {B}_A} cap {mathcal {B}_{{A^{ - 1}}}}$ is the commutant of A." @default.
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- W4246483323 date "1980-01-01" @default.
- W4246483323 modified "2023-09-25" @default.
- W4246483323 title "On a Boundedness Condition for Operators with a Singleton Spectrum" @default.
- W4246483323 doi "https://doi.org/10.2307/2043033" @default.
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