OAI/Analysis/KadisonKastler/ResolventMeasureFaithful.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Faithfulness removes scalar spectral mass at a kernel

An indicator of a zero set would give a kernel vector in the cyclic spectral model. Injectivity of the represented operator excludes it.

  1. theorem OAI.KadisonKastler.resolventVectorMeasure_zero_set line 20
  2. theorem OAI.KadisonKastler.resolventVectorMeasure_zero_endpoint line 56
  3. theorem OAI.KadisonKastler.resolventVectorMeasure_one_endpoint line 67