The effect of perturbations of linear operators on their polar decomposition

DOI10.1090/proc/13252zbMath1356.47002arXiv1602.05304OpenAlexW2962959111MaRDI QIDQ5298200

Friedrich Philipp, Richard Duong

Publication date: 14 December 2016

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

Full work available at URL: https://arxiv.org/abs/1602.05304

zbMATH Keywords

perturbationHilbert spacelinear operatorpolar decomposition

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (3)

Dynamical sampling on finite index sets ⋮ An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition ⋮ Representation and approximation of the polar factor of an operator on a Hilbert space

Cites Work

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• Some new perturbation bounds of generalized polar decomposition
• A perturbation bound for the generalized polar decomposition
• Perturbation bounds on the polar decomposition
• On the perturbation bound in unitarily invariant norms for subunitary polar factors
• A characterization of closed range operators
• Some new perturbation bounds for the generalized polar decomposition
• Computing the Polar Decomposition—with Applications
• New Perturbation Bounds for the Unitary Polar Factor
• How and Why to Solve the Operator Equation AX −XB = Y
• Perturbation Bounds of Unitary and Subunitary Polar Factors
• On the condition numbers associated with the polar factorization of a matrix
• Perturbation Bounds for the Polar Decomposition
• Perturbation theory for pseudo-inverses
• Spectral theory of linear operators and spectral systems in Banach algebras

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