The \((n+1)\)-centered operator on a Hilbert \(C^\ast\)-module

DOI10.1007/s43037-022-00240-3OpenAlexW4317515964MaRDI QIDQ2680123

Na Liu, Qingxiang Xu, Xiaofeng Zhang

Publication date: 27 January 2023

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

Full work available at URL: https://arxiv.org/abs/2204.11577

zbMATH Keywords

polar decompositionHilbert \(C^\ast\)-modulegeneralized Aluthge transform\(n\)-centered operatorgeneralized iterative Aluthge transform

Mathematics Subject Classification ID

(C^*)-modules (46L08) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• A note on majorization and range inclusion of adjointable operators on Hilbert \(C^\ast\)-modules
• The polar decomposition for adjointable operators on Hilbert \(C^*\)-modules and centered operators
• On the polar decomposition of the product of two operators and its applications
• Approximate \(n\)-idempotents and generalized Aluthge transform
• On operators with closed range and semi-Fredholm operators over \(W^*\)-algebras
• The polar decomposition for adjointable operators on Hilbert $C^*$-modules and $n$-centered operators
• On p-hyponormal operators for \(0<p<1\)
• Generalized Aluthge transformation on 𝑝-hyponormal operators
• Linear Operators for which T ∗ T and TT ∗ Commute
• Centered operators

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