Square root problem and subnormal Aluthge transforms

DOI10.1007/S43034-022-00232-2OpenAlexW3165315609MaRDI QIDQ2105343

El Hassan Zerouali, Kaissar Idrissi, Abdelouahab Hanine, Hamza El Azhar

Publication date: 8 December 2022

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10612

zbMATH Keywords

finitely atomic measuressquare root problem for measuresubnormal Aluthge transform of weighted shiftssupport of multiplicative convolution

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Berger measure for some transformations of subnormal weighted shifts
• Subnormality of Aluthge transforms of weighted shifts
• Weighted shifts induced by Hamburger moment sequences
• On the Aluthge transforms of weighted shifts with moments of Fibonacci type. Application to subnormality
• On p-hyponormal operators for \(0<p<1\)
• The Aluthge transform of unilateral weighted shifts and the Square Root Problem for finitely atomic measures

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