On Aluthge transforms of \(p\)-hyponormal operators

DOI10.1007/s00020-003-1324-yzbMath1155.47304OpenAlexW1975572674MaRDI QIDQ816936

Muneo Chō, Il Bong Jung, Woo Young Lee

Publication date: 2 March 2006

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-003-1324-y

zbMATH Keywords

weighted shiftAluthge transform

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (16)

The iterated Aluthge transforms of a matrix converge ⋮ Aluthge transforms of unbounded weighted composition operators in L²‐spaces ⋮ Random weighted shifts ⋮ Stability of \(\mathcal{AN}\)-property for the induced Aluthge transformations ⋮ Spherical mean transform of operator pairs ⋮ Subnormality of Aluthge transforms of weighted shifts ⋮ Hamburger-type weighted shifts: jumping flatness and Aluthge transforms ⋮ Convergence of Aluthge iteration in semisimple Lie groups ⋮ The induced Aluthge transformations ⋮ Aluthge transforms of 2-variable weighted shifts ⋮ Quasinormality of powers of commuting pairs of bounded operators ⋮ Aluthge transforms of weighted shifts on directed trees ⋮ Aluthge iterations of weighted translation semigroups ⋮ Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions ⋮ Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators ⋮ Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators

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