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Theorems · Theorem · functional analysis

Filter.IsIncreasingApproximateUnit.eventually_nnnorm

∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] {l : Filter A},
  l.IsIncreasingApproximateUnit → ∀ᶠ (x : A) in l, ‖x‖₊ ≤ 1
Defined in
Mathlib.Analysis.CStarAlgebra.ApproximateUnit
Cited by
0 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalCStarAlgebraPartialOrder
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Filter · cited by 8121FilterPartialOrder · cited by 6410PartialOrderNNReal · cited by 4310NNRealFilter.Eventually · cited by 3134Filter.EventuallyNNNorm.nnnorm · cited by 952NNNorm.nnnormNonUnitalCStarAlgebra · cited by 149NonUnitalCStarAlgebraFilter.IsIncreasingApproximateUnit · cited by 9Filter.IsIncreasingApprox…Filter.IsIncreasingApproximateUnit.eventually_norm · cited by 2IsIncreasingApproximateUn…IsIncreasingApproximateUnit.e…CITED BYCITES

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