Invariant subspaces for tridiagonal operators.

DOI10.1016/S0007-4497(02)01137-5zbMath1042.47004MaRDI QIDQ1865020

Sophie Grivaux

Publication date: 23 March 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

invariant subspacestridiagonal operatorsbishiftmoment pairs

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operator methods in interpolation, moment and extension problems (47A57) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (5)

Invariant subspaces for positive operators on Banach spaces with unconditional basis ⋮ Invariant sublattices for positive operators ⋮ Invariant subspaces for commuting operators on a real Banach space ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Band-diagonal operators on Banach lattices: matrix dynamics and invariant subspaces

Cites Work

• Unnamed Item
• Invariant subspaces and the exponential map
• On the invariant subspace problem for Banach spaces
• The existence of translation invariant subspaces of symmetric self-adjoint sequence spaces on \(\mathbb{Z}\)
• Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type
• An application of the smooth variational principle to the existence of nontrivial invariant subspaces
• A Solution to the Invariant Subspace Problem on the Space l ₁

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