Hyperinvariant, characteristic and marked subspaces

zbMath1181.15009arXiv1606.07201MaRDI QIDQ3643409

Pudji Astuti, Harald K. Wimmer

Publication date: 11 November 2009

Full work available at URL: https://arxiv.org/abs/1606.07201

zbMATH Keywords

eigenvalueinvariant subspaceseigenspacecharacteristic subspaceshyperinvariant subspacesJordan basismarked subspaces

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) 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 (9)

Computing the cardinality of the lattice of characteristic subspaces ⋮ The centralizer of an endomorphism over an arbitrary field ⋮ Characteristic and hyperinvariant subspaces over the field \(\mathrm{GF}(2)\) ⋮ Counting \(d\)-dimensional hyperinvariant subspaces of a Weyr matrix ⋮ Description of characteristic non-hyperinvariant subspaces over the field \(GF(2)\) ⋮ Characteristic subspaces and hyperinvariant frames ⋮ Characteristic invariant subspaces generated by a single vector ⋮ The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition ⋮ The characteristic subspace lattice of a linear transformation

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