Ideal-triangularizability of nil-algebras generated by positive operators

DOI10.1090/S0002-9939-2010-10476-8zbMath1223.47010OpenAlexW1974808440MaRDI QIDQ3082316

Marko Kandić

Publication date: 10 March 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10476-8

zbMATH Keywords

Banach latticespositive operatorsnil algebrasnilpotent algebrasoperator semigroupsideal reducibilityideal triangularisability

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Positive linear operators and order-bounded operators (47B65)

Related Items (1)

Infinite dimensional, affine nil algebras \(A \otimes A^{\mathrm{op}}\) and \(A \otimes A\) exist

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ideal-triangularizability of semigroups of positive operators
• An irreducible semigroup of non-negative square-zero operators
• Simultaneous triangularization
• On the nilpotency of nil-algebras
• Nil Algebras with Nonradical Tensor Square
• On the ideal-triangularizability of positive operators on Banach lattices
• Triangularizing semigroups of positive operators on an atomic normed Riesz Space
• Irreducible Semigroups of Functionally Positive Nilpotent Operators
• Shorter Notes: The Nilpotency of Banach Nil Algebras

This page was built for publication: Ideal-triangularizability of nil-algebras generated by positive operators