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On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K)
Published online by Cambridge University Press: 20 November 2018
Abstract
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It is known that a semigroup of quasinilpotent integral operators, with positive lower semicontinuous kernels, on 
${{L}^{2}}\,(X,\,\mu )$, where 
$X$ is a locally compact Hausdorff-Lindelöf space and 
$\mu $ is a 
$\sigma $-finite regular Borel measure on $X$, is triangularizable. In this article we use the Banach lattice version of triangularizability to establish the ideal-triangularizability of a semigroup of positive quasinilpotent integral operators on 
$C(\mathbf{K})$ where 
$\mathbf{K}$ is a compact Hausdorff space.
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- Research Article
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- Copyright © Canadian Mathematical Society 1998
References
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