Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type
From MaRDI portal
Publication:1963859
DOI10.1006/jfan.1999.3454zbMath0945.47012OpenAlexW2076933832MaRDI QIDQ1963859
Publication date: 4 October 2000
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1999.3454
invariant subspaceweighted shiftself-adjoint operatorslocal spectrumhyperdistributionquasianalyticcompletely indecomposable operatorweighted bi-shift
Invariant subspaces of linear operators (47A15) Structure theory of linear operators (47A65) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Quasi-analytic and other classes of functions of one complex variable (30D60)
Related Items
Local spectral properties of typical contractions on \(\ell_p\)-spaces ⋮ Large Bergman spaces: Invertibility, cyclicity, and subspaces of arbitrary index. ⋮ Reducible representations of abelian groups ⋮ Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type: Addendum ⋮ The existence of translation invariant subspaces of symmetric self-adjoint sequence spaces on \(\mathbb{Z}\) ⋮ Invariant subspaces for tridiagonal operators. ⋮ Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singular inner functions and biinvariant subspaces for dissymmetric weighted shifts
- Harmonic analysis based on certain commutative Banach algebras
- Analytic continuation across a linear boundary
- Some unsolved problems of unknown depth about operators on Hilbert space
- On the Corona Theorem and its Application to Spectral Problems in Hilbert Space
- Some Remarks on the Volterra Operator
- Functions of Exponential Type in an Angle and Singularities of Taylor Series