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The commutation relation i[Y, Z] = 2Y and the absolutely continuous spectrum of Y
Published online by Cambridge University Press: 17 February 2009
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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- Copyright © Australian Mathematical Society 1982