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The Weyl calculus, joint spectra and commutativity of compact selfadjoint operators

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Publication:1907227
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DOI10.1007/BF01378781zbMath0847.47009MaRDI QIDQ1907227

Werner J. Ricker

Publication date: 8 October 1996

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


zbMATH Keywords

Weyl calculusspectral setfunctional calculuscommutativityShilov type decomposition


Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60) Spectral sets of linear operators (47A25)


Related Items (3)

FEYNMAN'S OPERATIONAL CALCULI FOR NONCOMMUTING OPERATORS: SPECTRAL THEORY ⋮ The Weyl calculus and a Cayley-Hamilton theorem for pairs of selfadjoint matrices ⋮ Lacunas in the Support of the Weyl Calculus for Two Hermitian Matrices



Cites Work

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  • The Weyl calculus and commutativity for systems of selfadjoint matrices
  • The Weyl functional calculus
  • On the Weyl functional calculus
  • Joint spectra and commutativity of systems of (2 × 2) selfadjoint matrices
  • The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.


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