Applications of polar decompositions of idempotent and 2-nilpotent operators

DOI10.1080/03081080701400911zbMath1129.47022OpenAlexW1964829346MaRDI QIDQ5443476

Takayuki Furuta

Publication date: 21 February 2008

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080701400911

zbMATH Keywords

polar decompositionidempotent operatorAluthge transformation2-nilpotent operatoroperator transformation

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items

Upper and lower bounds for the numerical radius with an application to involution operators ⋮ On the \(\rho\)-operator radii ⋮ Further bounds for the spread of a matrix ⋮ On numerical radius of a matrix and estimation of bounds for zeros of a polynomial ⋮ Spectra, norms and numerical ranges of generalized quadratic operators ⋮ A new approach to numerical radius of quadratic operators ⋮ Polar decomposition and characterization of binormal operators

Cites Work

• On log-hyponormal operators
• Multiplicative perturbations of stable and convergent operators
• Some generalized theorems on \(p\)-hyponormal operators
• Matricial ranges of quadratic operators
• On p-hyponormal operators for \(0<p<1\)
• Inequalities involving the numerical radius
• Generalized Aluthge transformation on 𝑝-hyponormal operators