Representation and approximation of the polar factor of an operator on a Hilbert space

DOI10.3934/DCDSS.2020463zbMath1503.47026OpenAlexW3108831093MaRDI QIDQ2063989

Mostafa Mbekhta

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020463

zbMATH Keywords

approximationspolar decompositionpartial isometrypartial isometriespolar factor

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Operators on Hilbert spaces (general) (47B02)

Uses Software

• mftoolbox

Cites Work

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• The reduced minimum modulus
• Approximation of the polar factor of an operator acting on a Hilbert space
• Polar decomposition, Aluthge and mean transforms
• Computing the Polar Decomposition—with Applications
• New Perturbation Bounds for the Unitary Polar Factor
• The effect of perturbations of linear operators on their polar decomposition
• Functions of Matrices

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