The commutation relation i[Y,Z]=2Y and the absolutely continuous-spectrum of Y

John Corbett

doi:10.1017/S0334270000000369

The commutation relation i[Y,Z]=2Y and the absolutely continuous-spectrum of Y

John Corbett

Research output: Contribution to journal › Article › peer-review

Abstract

A relation between positive commutators and absolutely continuous spectrum is obtained. If i[Y, Z] = 2Y holds on a core for Z and if Y is positive then we have a system of imprimitivity for the group on , from which it follows that Y has no singular continuous spectrum.

Original language	English
Pages (from-to)	420-427
Number of pages	8
Journal	Journal of the Australian Mathematical Society Series B-Applied Mathematics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1017/S0334270000000369
Publication status	Published - 1982

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title = "The commutation relation i[Y,Z]=2Y and the absolutely continuous-spectrum of Y",

abstract = "A relation between positive commutators and absolutely continuous spectrum is obtained. If i[Y, Z] = 2Y holds on a core for Z and if Y is positive then we have a system of imprimitivity for the group on , from which it follows that Y has no singular continuous spectrum.",

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AB - A relation between positive commutators and absolutely continuous spectrum is obtained. If i[Y, Z] = 2Y holds on a core for Z and if Y is positive then we have a system of imprimitivity for the group on , from which it follows that Y has no singular continuous spectrum.

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DO - 10.1017/S0334270000000369

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JO - Journal of the Australian Mathematical Society Series B-Applied Mathematics

JF - Journal of the Australian Mathematical Society Series B-Applied Mathematics

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The commutation relation i[Y,Z]=2Y and the absolutely continuous-spectrum of Y

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