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Joint functional calculus for definitizable self-adjoint operators on Krein spaces

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Publication:786082
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DOI10.1007/S00020-020-02588-3OpenAlexW3040009227MaRDI QIDQ786082

Michael Kaltenbäck, Nathanael Skrepek

Publication date: 12 August 2020

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-020-02588-3


zbMATH Keywords

Krein spaceself-adjoint operatorfunctional calculusdefinitizable operatorPontryagin space


Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60) Linear operators on spaces with an indefinite metric (47B50)


Related Items (1)

Quantum \(J\)-channels on Krein spaces




Cites Work

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  • Spectral theorem for definitizable normal linear operators on Krein spaces
  • Functional calculus for definitizable self-adjoint linear relations on Krein spaces
  • Representations of hermitian kernels by means of Kreĭn spaces
  • Definitizability of normal operators on Krein spaces and their functional calculus




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