\(\lambda\)-Aluthge transforms and Schatten ideals

DOI10.1016/j.laa.2005.03.016zbMath1074.47006OpenAlexW2078577708WikidataQ88554048 ScholiaQ88554048MaRDI QIDQ2484237

Jorge Antezana, Pedro G. Massey, Demetrio Stojanoff

Publication date: 1 August 2005

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

Full work available at URL: http://sedici.unlp.edu.ar/handle/10915/83154

zbMATH Keywords

polar decompositionAluthge transformSchatten normsRiesz calculus

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (22)

Spectral radius formulas involving generalized Aluthge transform ⋮ General product nonlinear maps commuting with the \(\lambda\)-Aluthge transform ⋮ Fuglede-Putnam type theorems via the Aluthge transform ⋮ The λ-Aluthge transform of EP matrices ⋮ A note on \(({\mathcal C}_p,\alpha )\)-hyponormal operators ⋮ The iterated Aluthge transforms of a matrix converge ⋮ Gaps of operators via rank-one perturbations ⋮ Aluthge transform of operators on the Bergman space ⋮ Polar decomposition, Aluthge and mean transforms ⋮ Convergence of the iterated Aluthge transform sequence for diagonalizable matrices ⋮ Convergence of Aluthge iteration in semisimple Lie groups ⋮ New formulas for the spectral radius via \(\lambda\)-Aluthge transform ⋮ Product commuting maps with the \(\lambda\)-Aluthge transform ⋮ The mean transform and the mean limit of an operator ⋮ Jordan product maps commuting with the \(\lambda\)-Aluthge transform ⋮ Aluthge iteration in semisimple Lie group ⋮ On the numerical range behavior under the generalized Aluthge transform ⋮ Equality of three numerical radius inequalities ⋮ Aluthge operator field and its numerical range and spectral properties ⋮ Nonlinear maps commuting with the λ-Aluthge transform under (n,m)–Jordan-triple product ⋮ Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators ⋮ Unnamed Item

Cites Work

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• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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