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Families of annihilating skew-selfadjoint operators and their connection to Hilbert complexes

  • Dirk Pauly,
  • Rainer Picard

摘要

In this short note we show that Hilbert complexes are strongly related to what we shall call annihilating sets of skew-selfadjoint operators. This provides for a new perspective on the classical topic of Hilbert complexes viewed as families of commuting normal operators.