Triangularizing semigroups of positive operators on an atomic normed Riesz Space

DOI10.1017/S001309150002068XzbMath0977.47029MaRDI QIDQ4487714

Roman Drnovšek

Publication date: 22 June 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

atomsorder continuoussemigroups of bounded operatorsnormed Riesz spacestriangularizabilityinvariant bandcommon invariant closed idealinvariant closed idealsquasnilpotent compact operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Banach lattices (46B42) Groups and semigroups of linear operators (47D03) Positive linear operators and order-bounded operators (47B65) Ordered normed spaces (46B40)

Related Items (10)

On the positive commutator in the radical ⋮ On commuting and semi-commuting positive operators ⋮ From local to global ideal-triangularizability ⋮ Multiplicative coordinate functionals and ideal-triangularizability ⋮ Common invariant subspaces for collections of operators ⋮ On positive commutators ⋮ More on positive commutators ⋮ Ideal-triangularizability of nil-algebras generated by positive operators ⋮ A note on spectral sublinearity for collections of positive compact operators on Banach lattices ⋮ An irreducible semigroup of non-negative square-zero operators

Cites Work

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• On the spectral radius of positive operators
• Invariant subspaces of operators on \(\ell_ p\)-spaces
• Invariant subspace theorems for positive operators
• Topologische Nilpotenz irreduzibler Operatoren
• On the ideal-triangularizability of positive operators on Banach lattices

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