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feat(Analysis.Normed.Ring.Seminorm): add SmoothingSeminorm

Open mariainesdff opened this issue 6 months ago • 3 comments

We prove [BGR, Proposition 1.3.2/1][bosch-guntzer-remmert] : if f is a nonarchimedean seminorm on R, then iInf (λ (n : pnat), (f(x^(n : ℕ)))^(1/(n : ℝ))) is a power-multiplicative nonarchimedean seminorm on R.


  • [ ] depends on: #18173
  • [ ] depends on: #18172
  • [ ] depends on: #18171
  • [x] depends on: #16767
  • [x] depends on: #16768
  • [x] depends on: #16770

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mariainesdff avatar Jul 31 '24 16:07 mariainesdff