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Integral decomposition of unbounded operator families

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Publication:1136068
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DOI10.1007/BF01230085zbMath0426.47025MaRDI QIDQ1136068

Fr. Debacker-Mathot

Publication date: 1980

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

graph topologydirect integral decompositionstate of C*-algebras


Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Functional calculus for linear operators (47A60)


Related Items

Unnamed Item ⋮ Distributionlike representations of *-algebras



Cites Work

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  • Some operator algebras in nested Hilbert spaces
  • On the algebra of field operators. The weak commutant and integral decompositions of states
  • Extremal decomposition of Wightman functions and of states on nuclear \(^*\)-algebras by Choquet theory
  • Partial inner product spaces. I: General properties
  • Unbounded representations of \(^*\)-algebras
  • Elementary properties of nested Hilbert spaces
  • Reduction theory for unbounded closed operators in Hilbert space
  • Self-adjoint algebras of unbounded operators
  • Topological algebras of operators
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