OAI/Topology/CoarseAssembly/BoundedTransform.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A continuous bounded transform of self-adjoint Fredholm operators

The imaginary part of the Cayley transform is the rational function 2x / (1 + x²). It is contractive and varies continuously even when the original family has no uniform norm bound.

  1. theorem OAI.CoarseAssembly.Analytic.boundedTransform_selfAdjoint line 22
  2. theorem OAI.CoarseAssembly.Analytic.boundedTransform_norm_le line 29
  3. theorem OAI.CoarseAssembly.Analytic.continuous_boundedTransform line 38