Factorization theorems and the structure of operators on Hilbert space
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Publication:919248
DOI10.2307/1971446zbMath0706.47010OpenAlexW1964147941MaRDI QIDQ919248
Publication date: 1988
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971446
Invariant subspaces of linear operators (47A15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Structure theory of linear operators (47A65) Canonical models for contractions and nonselfadjoint linear operators (47A45)
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\(N\)-tuples in the class \({\mathbb A}^{(N)}\) and factorization properties ⋮ A new method for constructing invariant subspaces ⋮ Functional calculus and its application to operator algebras ⋮ Circles in the spectrum and the geometry of orbits: A numerical ranges approach ⋮ Do some nontrivial closed 𝑧-invariant subspaces have the division property? ⋮ Invariant subspaces for polynomially hyponormal operators ⋮ Factorizations in preduals associated to ρ-contractions ⋮ Von Neumann operators are reflexive ⋮ Wandering vectors and the reflexivity of free semigroup algebras ⋮ Classification of multiple unilateral weighted shifts by \(\mathbb{A}_{\aleph_0}\) ⋮ The majorization function and the index of invariant subspaces in the Bergman spaces. ⋮ Nevanlinna-Pick interpolation and factorization of linear functionals ⋮ Notes on invariant subspaces ⋮ Operator theory in the Hardy space over the bidisk. III ⋮ Normal boundary dilations and rationally invariant subspaces ⋮ A note on control subspaces of minimal dimension ⋮ The reflexivity of hyperexpansions and their Cauchy dual operators ⋮ \(L^1\)-factorization for \(C_{00}\)-contractions with isometric functional calculus ⋮ Analytic contractions, nontangential limits, and the index of invariant subspaces ⋮ A near-factorization theorem for integrable functions ⋮ Propriétés spectrales des restrictions d'opérateurs de la classe $$\mathbb{A}$$
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