Diagonalization of compact operators in Hilbert modules over finite \(W^*\)-algebras

DOI10.1007/BF00773655zbMath0827.46058MaRDI QIDQ1897590

Vladimir M. Manuilov

Publication date: 17 December 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

eigenvectorscompact operatorHilbert modulediagonalization of operators\(W^*\)-algebrasirrational rotation algebracontinuous family of compact selfadjoint operatorsSchrödinger operator in a magnetic field with irrational magnetic flow

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (6)

Compact and ``compact operators on standard Hilbert modules over \(W^*\)-algebras ⋮ Compact and ``compact operators on standard Hilbert modules over \(C^*\)-algebras ⋮ Diagonalization of compact operators on Hilbert modules over \(C^*\)-algebras of real rank zero ⋮ Hilbert \(C^*\) and \(W^*\)-modules and their morphisms ⋮ Diagonalizing operators in Hilbert modules over \(C^*\)-algebras ⋮ Measures of noncompactness on the standard hilbert C*-module

Cites Work

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• Diagonalizing matrices over C(X)
• Representations and automorphisms of the irrational rotation algebra
• Diagonality in \(C^*\)-algebras
• Diagonalizing projections in multiplier algebras and in matrices over a C* -algebra
• Diagonalizing ``compact operators on Hilbert \(W^*\)-modules
• Self-duality and \(C^*\)-reflexivity of Hilbert \(C^*\)-moduli
• On rings of operators
• Diagonalizing matrices over operator algebras
• Diagonalizing Matrices
• The Double B-Dual Of An Inner Product Module Over a C*-Algebra B
• Inner Product Modules Over B ∗ -Algebras

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