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Atomic measure spaces and essentially normal composition operators
Published online by Cambridge University Press: 17 April 2009
Abstract
The adjoint of a composition operator CT on the L2-space of an atomic measure is computed and a characterization for an operator to be a composition operator is given in this short note. The dimensions of kernel and co-kernel of CT are calculated in order to characterise Fredholm composition operators. Finally, essentially normal composition operators are studied on l2.
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- Copyright © Australian Mathematical Society 1983
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