Which linear transformations have isomorphic hyperinvariant subspace lattices?

DOI10.1016/0024-3795(92)90177-CzbMath0760.15003MaRDI QIDQ1187391

Pei Yuan Wu

Publication date: 23 July 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvalueJordan normal formlinear transformationshyperinvariant subspacesJordan structureJordan-blocks

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Cites Work

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• On equality of invariant subspace lattices of operators
• Inertia characteristics of self-adjoint matrix polynomials
• On the distance between lattices of invariant subspaces of matrices
• What kind of operators have few invariant subspaces?
• On projective equivalence of invariant subspace lattices
• Remarks on invariant subspaces for finite dimensional operators
• The hyperinvariant subspace lattice of a linear transformation
• The Strong Law of Small Numbers
• A Lattice-Theoretic Description of the Lattice of Hyperinvariant Subspaces of a Linear Transformation
• The Invariant Subspace Lattice of a Linear Transformation

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