Jumping flatness and Aluthge transform of recursive weighted shifts

DOI10.1016/J.JMAA.2022.126696OpenAlexW3095572101MaRDI QIDQ2084891

El Hassan Zerouali, Kaissar Idrissi, Hamza El Azhar

Publication date: 13 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02339

zbMATH Keywords

recursive sequencesAluthge transformssubnormal weighted shiftsHamburger-type weighted sequencesjumping flatness

Mathematics Subject Classification ID

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

Cites Work

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• Subnormality of Aluthge transforms of weighted shifts
• Quadratically hyponormal weighted shifts
• Recursively generated weighted shifts and the subnormal completion problem
• Hamburger-type weighted shifts: jumping flatness and Aluthge transforms
• Weighted shifts induced by Hamburger moment sequences
• On the Aluthge transforms of weighted shifts with moments of Fibonacci type. Application to subnormality
• Which weighted shifts are subnormal
• On p-hyponormal operators for \(0<p<1\)
• RECURSIVE SUBNORMAL COMPLETION AND THE TRUNCATED MOMENT PROBLEM
• The Square Root Problem and Aluthge transforms of weighted shifts
• The Aluthge transform of unilateral weighted shifts and the Square Root Problem for finitely atomic measures

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