A note on majorization and range inclusion of adjointable operators on Hilbert \(C^\ast\)-modules

DOI10.1016/j.laa.2016.11.025zbMath1364.46053OpenAlexW2556710973MaRDI QIDQ730616

Qingxiang Xu, Xiao Chun Fang

Publication date: 28 December 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.11.025

zbMATH Keywords

Hilbert \(C^\ast\)-modulerange inclusionorthogonally complemented submodule

Mathematics Subject Classification ID

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

Related Items (7)

Closed range and nonclosed range adjointable operators on Hilbert \(C^*\)-modules ⋮ The \((n+1)\)-centered operator on a Hilbert \(C^\ast\)-module ⋮ The polar decomposition of the product of three operators ⋮ (F,G)-operator frames for ℒ(ℋ,𝒦) ⋮ On majorization and range inclusion of operators on Hilbert C*-modules ⋮ The polar decomposition for adjointable operators on Hilbert \(C^*\)-modules and centered operators ⋮ Factorization and range inclusion of adjointable operators on the weighted Hilbert C^∗-modules

Cites Work

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• G-frames for operators in Hilbert $C^{\ast}$-modules
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• Positive solutions to a system of adjointable operator equations over Hilbert \(C^*\)-modules

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