Similarity, Quasimilarity and Operator Factorizations

DOI10.2307/2001443zbMath0674.47010OpenAlexW4242866266WikidataQ114042869 ScholiaQ114042869MaRDI QIDQ3828554

Raúl E. Curto, Lawrence A. Fialkow

Publication date: 1989

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001443

zbMATH Keywords

unilateral shiftoperator factorizationinvariant operator rangesessential spectral inclusionsone-parameter family of nonhyponormal noncontractive, shift-like operators in the similarity orbitsimilarity and quasisimilarity of Hilbert space operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Commutators, derivations, elementary operators, etc. (47B47) (Semi-) Fredholm operators; index theories (47A53) Equations involving linear operators, with operator unknowns (47A62) Structure theory of linear operators (47A65)

Related Items (4)

Factorization of staircase class operators in Hilbert space ⋮ Confluent operator algebras and the closability property ⋮ Positivity of $2\times2$ block matrices of operators ⋮ The Jordan form of a bitriangular operator

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