On projective equivalence of invariant subspace lattices

DOI10.1016/0024-3795(82)90251-8zbMath0484.15002OpenAlexW1982887164MaRDI QIDQ1163608

Paul S. Muhly, Michael J. McAsey

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90251-8

zbMATH Keywords

linear transformationJordan formminimal polynomialprojective equivalencecomplementary subspaceslattice isomorphismgroup isomorphisminvariant subspace lattice

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (3)

On the normalizer of the reflexive cover of a unital algebra of linear transformations ⋮ Which linear transformations have isomorphic hyperinvariant subspace lattices? ⋮ Endomorphism rings of modules and lattices of submodules

Cites Work

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• Isomorphisms of finite type II rings of operators
• Inducing lattice maps by semilinear isomorphisms
• On a topology for invariant subspaces
• On the geometry of projections in certain operator algebras
• The Invariant Subspace Lattice of a Linear Transformation
• A Unified Theory of Projective Spaces and Finite Abelian Groups

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