(y : H) (T₀ : ℝ) : IsCompact ((fun s : ℝ => T.stoneU s y) '' Set.Icc (-T₀) T₀)
ProvedBookProof.ChapterSirkTrotterKato.isCompact_orbitsirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkTrotterKato.isCompact_orbit (module BookProof.ChapterSirkTrotterKato), source chapter BookProof/ChapterChapterSirkTrotterKato.lean.
Preamble
-- Generated from ChapterSirkTrotterKato.lean — theorem BookProof.ChapterSirkTrotterKato.isCompact_orbit
import Mathlib
import Definitions.Def_ChapterSirkTrotterKato
open BookProof.ChapterSirkTrotterKato
noncomputable section
open Filter Topology Asymptotics
open scoped InnerProductSpace
open BookProof.ChapterStoneResolvent
variable {H : Type*} [NormedAddCommGroup H] [InnerProductSpace ℂ H] [CompleteSpace H]
variable (T : UnboundedSelfAdjoint H) (S : ℕ → UnboundedSelfAdjoint H)Formal statement
theorem BookProof.ChapterSirkTrotterKato.isCompact_orbit (y : H) (T₀ : ℝ) :
IsCompact ((fun s : ℝ => T.stoneU s y) '' Set.Icc (-T₀) T₀) := by sorrySource