Geodesic
On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K)
Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 298-305

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1998-042-4
Mots-clés : 47B65 
Jahandideh, M. T. On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K). Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 298-305. doi: 10.4153/CMB-1998-042-4
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