Unbounded operators on Hilbert C*-modules

DOI10.1142/S0129167X15500949zbMath1341.46033arXiv1409.8523OpenAlexW2963672489MaRDI QIDQ3462613

René Gebhardt, Konrad Schmüdgen

Publication date: 15 January 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8523

zbMATH Keywords

unbounded operatorHilbert \(C^*\)-moduleregular operatoraffiliated operator

Mathematics Subject Classification ID

(C^*)-modules (46L08) Linear spaces of operators (47L05)

Related Items (4)

The polar decomposition for adjointable operators on Hilbert \(C^*\)-modules and centered operators ⋮ The polar decomposition for adjointable operators on Hilbert $C^*$-modules and $n$-centered operators ⋮ Orthogonal complementing in Hilbert $C^*$-modules ⋮ Polar decomposition and characterization of binormal operators

Cites Work

• Unnamed Item
• A local global principle for regular operators in Hilbert \(C^*\)-modules
• The \(C^*\)-algebras of the Heisenberg group and of thread-like Lie groups
• The \(KK\)-product of unbounded modules
• Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds)
• Unbounded Toeplitz operators
• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• Operator theory in the \(C^*\)-algebra framework
• Induced representations of C\(^*\)-algebras
• Hilbert 𝐶*-modules in which all closed submodules are complemented
• Functional calculus and representations of C0(C) on a Hilbert module
• Modules Over Operator Algebras

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