What kind of operators have few invariant subspaces?

DOI10.1016/0024-3795(87)90034-6zbMath0632.15013OpenAlexW1966365902MaRDI QIDQ1095222

Sing-Cheong Ong

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90034-6

zbMATH Keywords

hyperinvariant subspacescyclic vectorsminimal and characteristic polynomials

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Invariant subspaces of linear operators (47A15) Linear transformations, semilinear transformations (15A04)

Related Items

On the normalizer of the reflexive cover of a unital algebra of linear transformations ⋮ Analytic structures for subnormal operators ⋮ Which linear transformations have isomorphic hyperinvariant subspace lattices?

Cites Work

• On the operator equation \(BX - XA = Q\)
• The hyperinvariant subspace lattice of a linear transformation
• Eigenvectors and adjoints
• The Invariant Subspace Lattice of a Linear Transformation
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