The \(p\)-th power problem for Berger measures

DOI10.1016/J.JMAA.2024.128523MaRDI QIDQ6614351

Seunghwan Baek

Publication date: 7 October 2024

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

zbMATH Keywords

momentssubnormalweighted shiftsAluthge transformBerger measure\(p\)-th power problem

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) General theory of linear operators (47Axx) Integral transforms, operational calculus (44Axx)

Cites Work

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• Berger measure for some transformations of subnormal weighted shifts
• Subnormality of Bergman-like weighted shifts
• On the \(\varkappa\)th root of a Stieltjes moment sequence
• Quadratically hyponormal weighted shifts
• Moment infinitely divisible weighted shifts
• Berger measure for \(S(a,b,c,d)\)
• Conditional positive definiteness as a bridge between \(k\)-hyponormality and \(n\)-contractivity
• On p-hyponormal operators for \(0<p<1\)
• Subnormal operators
• Generalized Cauchy-Hankel matrices and their applications to subnormal operators
• The Square Root Problem and Aluthge transforms of weighted shifts
• $k$-hyponormality of powers of weighted shifts via Schur products
• The Aluthge transform of unilateral weighted shifts and the Square Root Problem for finitely atomic measures
• Ten problems in Hilbert space
• Subnormal weighted shifts and the Halmos-Bram criterion
• \(n\)-hyponormality and \(n\)-contractivity of generalized Bergman weighted shifts

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