On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K)
Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 298-305
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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.
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
@article{10_4153_CMB_1998_042_4,
author = {Jahandideh, M. T.},
title = {On the {Ideal-Triangularizability} of {Semigroups} of {Quasinilpotent} {Positive} {Operators} on {C(K)}},
journal = {Canadian mathematical bulletin},
pages = {298--305},
year = {1998},
volume = {41},
number = {3},
doi = {10.4153/CMB-1998-042-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-042-4/}
}
TY - JOUR AU - Jahandideh, M. T. TI - On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K) JO - Canadian mathematical bulletin PY - 1998 SP - 298 EP - 305 VL - 41 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-042-4/ DO - 10.4153/CMB-1998-042-4 ID - 10_4153_CMB_1998_042_4 ER -
%0 Journal Article %A Jahandideh, M. T. %T On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K) %J Canadian mathematical bulletin %D 1998 %P 298-305 %V 41 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-042-4/ %R 10.4153/CMB-1998-042-4 %F 10_4153_CMB_1998_042_4
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