From local to global triangularization

DOI10.1006/jfan.1996.3069zbMath0902.47019OpenAlexW1997459231MaRDI QIDQ1363574

Heydar Radjavi, Peter Rosenthal

Publication date: 9 December 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3069

zbMATH Keywords

semigroup of operatorsSchatten \(p\)-classblock triangularizationalgebras of compact operatorslocal to global triangularizationmaximal subspace domain

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (max. 100)

Solvable Jordan algebras of compact operators ⋮ A Gauche Perspective on Row Reduced Echelon Form and Its Uniqueness ⋮ Commutators of small rank and reducibility of operator semigroups ⋮ Infinite-dimensional triangularizable algebras ⋮ Realizing irreducible semigroups and real algebras of compact operators ⋮ Invariant subspaces of operator Lie algebras and Lie algebras with compact adjoint action ⋮ Corrigendum/addendum to: Sets of matrices all infinite products of which converge ⋮ Standard triangularization of semigroups of non-negative operators ⋮ Common invariant subspaces for collections of operators ⋮ Operator semigroups with quasinilpotent commutators ⋮ Common invariant subspaces from small commutators ⋮ Invariant subspaces for operator semigroups with commutators of rank at most one ⋮ Invariant subspaces for semigroups of algebraic operators ⋮ Volterra semigroups have invariant subspaces

Cites Work

• A nil algebra of bounded operators on Hilbert space with semisimple norm closure
• Block triangularization of algebras of matrices
• Invariant subspaces for the family of operators which commute with a completely continuous operator
• On L-groups
• On L-semi-groups
• On transitive and reductive operator algebras
• Super-Diagonal Forms for Compact Linear Operators
• A Trace Condition Equivalent to Simultaneous Triangularizability
• Simultaneous Triangularization of Operators on a Banach Space
• Irreducible semigroups with multiplicative spectral radius
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