Is a self-adjoint operator determined by its invariant subspace lattice?

DOI10.1016/0022-1236(85)90073-4zbMath0617.47002OpenAlexW2001276493MaRDI QIDQ1822022

John B. Conway, T. Alastair Gillespie

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90073-4

zbMATH Keywords

spectral structurelattice of invariant subspaces of a bounded linear operator

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Invariant subspaces of linear operators (47A15)

Related Items (1)

Isometries with isomorphic invariant subspace lattices

Cites Work

• Invariant subspaces and unstarred operator algebras
• Weak-star generators of \(H^ \infty\)
• Operator methods in classical mechanics. II
• Weak-star density of polynomials.
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