Invariant subspaces of nilpotent operators and LR-sequences

DOI10.1007/BF01236472zbMath0941.15005OpenAlexW2053404980MaRDI QIDQ1300158

Vladimír Müller, Wing Suet Li

Publication date: 31 July 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236472

zbMATH Keywords

similarity orbitlattice of invariant subspacesLittlewood-Richardson sequencesJordan operatornilpotent operator,

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Invariant subspaces of linear operators (47A15) Canonical forms, reductions, classification (15A21)

Related Items (3)

Quasiaffine orbits of invariant subspaces for uniform Jordan operators ⋮ Nilpotent completely positive maps ⋮ Cyclic row contractions and rigidity of invariant subspaces

Cites Work

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• On the partial multiplicities of a product of two matrix polynomials
• Rules for the partial multiplicities of the product of holomorphic matrix functions
• The invariant subspaces of a uniform Jordan operator
• The quasisimilarity orbits of invariant subspaces
• The local invariant factors of a product of holomorphic matrix functions: The order 4 case
• Unsolved problems in matrix and operator theory. II. Partial multiplicities for products
• Matrix realizations of littlewood—richardson sequences
• The Multiplication of Schur-Functions and Extensions of p -Modules

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