The Aluthge transform of unilateral weighted shifts and the Square Root Problem for finitely atomic measures

DOI10.1002/mana.201800140zbMath1447.47029OpenAlexW2969500982WikidataQ127334893 ScholiaQ127334893MaRDI QIDQ5207955

Jaewoong Kim, Jasang Yoon, Raúl E. Curto

Publication date: 14 January 2020

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201800140

zbMATH Keywords

Aluthge transformmultiplicative convolutionfinitely atomic measuressubnormal weighted shiftssquare root problem for measures

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (7)

Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators ⋮ Spherical Aluthge transform, sphericalpandlog-hyponormality of commuting pairs of operators ⋮ Hamburger-type weighted shifts: jumping flatness and Aluthge transforms ⋮ 2-variable weighted shifts and recursiveness: toral Aluthge transform and subnormality ⋮ Aluthge operator field and its numerical range and spectral properties ⋮ Jumping flatness and Aluthge transform of recursive weighted shifts ⋮ Square root problem and subnormal Aluthge transforms

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