Maximal, minimal, and primary invariant subspaces
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Publication:5949553
DOI10.1006/jfan.2001.3760zbMath0996.47007OpenAlexW2013885468MaRDI QIDQ5949553
Publication date: 4 November 2002
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.2001.3760
Hardy spacesbackward shift operatorBanach spaces of holomorphic functionsBergmann spacesmaximal invariant subspacenorms of polynomials growthsubcritical operators
Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Nest algebras, CSL algebras (47L35)
Related Items
Maximal invariant subspaces for a class of operators ⋮ The spectrum of some compressions of unilateral shifts
Cites Work
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- Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
- Bounded analytic functions in the Dirichlet space
- Maximal invariant subspaces in the Bergman space
- A division theorem for analytic functions with a given majorant and some of its applications
- Operators which are annihilated by analytic functions and invariant subspaces
- Zeros of functions in the Bergman spaces
- Beurling's theorem for the Bergman space
- Shift invariant subspaces with arbitrary indices in \(\ell^p\) spaces
- A critical topology in harmonic analysis on semigroups
- Analytic continuation across a linear boundary
- On two problems concerning linear transformations in Hilbert space
- The existence of invariant subspaces
- Invariant subspaces of arbitrary multiplicity for the shift on $\ell ^1$
- Projections in certain Banach spaces
- Cyclic Vectors in the Dirichlet Space
- Invariant subspaces of the Dirichlet shift.
- Invariant Subspaces in Banach Spaces of Analytic Functions
- Lower Bounds for the Modulus of Analytic Functions
- A Representation Theorem for Cyclic Analytic Two-Isometries
- Hilbert Spaces of Analytic Functions Between the Hardy and the Dirichlet Space
- Pseudocontinuations and the backward shift
- Invariant subspaces of given index in Banach spaces of analytic functions
- Hankel operators, best approximations, and stationary Gaussian processes
- Notes on the Theory and Application of Fourier Transforms. I-II
- Interpolating sequences and invariant subspaces of given index in the Bergman spaces.
- On the analytic transform of bounded linear functionals on certain Banach algebras
- Multipliers on D α
- Universal Operators and Invariant Subspaces
- Ideals in Rings of Analytic Functions with Smooth Boundary Values
- Associated Integral Functions and Singular Points of Power Series
- Questions of regularity connected with the Phragmen-Lindelöf principle