On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K)
Copyright policy )On the Ideal-Triangularizability of Semigroups of Quasinilpotent Positive Operators on C(K)
AbstractIt is known that a semigroup of quasinilpotent integral operators, with positive lower semicontinuous kernels, on L2(X, μ), where X is a locally compact Hausdorff-Lindelöf space and μ is a σ-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(K) where K is a compact Hausdorff space.
- Dalhousie University Canada
- Isfahan University of Technology Iran (Islamic Republic of)
Banach lattice version of triangularizability, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, positive lower-semicontinuous kernels, Linear operators on function spaces (general), ideal-triangularizability, triangularizable, locally compact Hausdorff-Lindelöf space, Positive linear operators and order-bounded operators, semigroup of quasinilpotent integral operators
Banach lattice version of triangularizability, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, positive lower-semicontinuous kernels, Linear operators on function spaces (general), ideal-triangularizability, triangularizable, locally compact Hausdorff-Lindelöf space, Positive linear operators and order-bounded operators, semigroup of quasinilpotent integral operators
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