Roots and logarithms of bounded operators on Hilbert space

DOI10.1016/0022-1236(87)90129-7zbMath0613.47013OpenAlexW1969973793MaRDI QIDQ1819339

John B. Conway, Bernard B. Morrel

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90129-7

zbMATH Keywords

spectral characterizationroots and logarithms of bounded operatorssemi-Fredholm index

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items (10)

The square roots of some classical operators ⋮ Norm estimates for functions of non-selfadjoint operators nonregular on the convex hull of the spectrum ⋮ Square roots of weighted shifts of multiplicity two ⋮ Around the closure of the set of commutators of idempotents in \(\mathcal{B}(\mathcal{H})\): biquasitriangularity and factorisation ⋮ Perturbation theory for the logarithm of a positive operator ⋮ On \(n\)th roots of bounded and unbounded quasinormal operators ⋮ On the existence of normal square and nth roots of operators ⋮ Aspects of nonnormality for iterative methods ⋮ A time-varying analogue of Jensen's formula ⋮ Subnormal \(n\)th roots of quasinormal operators are quasinormal

Cites Work

• On the operator equation \(BX - XA = Q\)
• On roots and logarithms of elements of a complex Banach algebra
• An elementary proof of a fundamental theorem in the theory of Banach algebras
• On \(n\)-th roots of normal operators
• Subnormal roots of subnormal operators
• On roots of normal operators
• On Square Roots of Normal Operators
• The bilateral Bergman shift
• Roots of Scalar Operators
• The closure of the similarity orbit of a Hilbert space operator
• Square roots of complex matrices
• The Spectra of Operators Having Resolvents of First-Order Growth
• On the Roots of Spectral Operators
• An Extension of the Weyl-Von Neumann Theorem to Normal Operators
• Continuous Functions of Hermitian Operators
• Another Class of Invertible Operators without Square Roots
• On the Logarithms of Bounded Matrices
• Square Roots of Operators
• Square Roots of Operators. II
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