Zulip Chat Archive

Stream: Is there code for X?

Topic: rat-normed space


Yaël Dillies (Apr 13 2022 at 13:11):

We have docs#normed_space.complex_to_real which turns normed_space ℂ E into normed_space ℝ E. Do we have something similar to turn normed_space ℝ E into normed_space ℚ E?

Yaël Dillies (Apr 13 2022 at 13:11):

Context is #13379

Eric Wieser (Apr 13 2022 at 13:13):

docs#normed_algebra_rat is all we have right now

Eric Wieser (Apr 13 2022 at 13:14):

Good luck avoiding a diamond

Yaël Dillies (Apr 13 2022 at 13:15):

What diamond is there to create? normed_space ℚ ℝ?

Eric Wieser (Apr 13 2022 at 13:17):

When E is a char_zero division ring

Yaël Dillies (Apr 13 2022 at 13:17):

Is it true more generally that normed_algebra 𝕜₁ 𝕜₂ → normed_space 𝕜₂ E → normed_space 𝕜₁ E?

Eric Wieser (Apr 13 2022 at 13:18):

Sure, that's probably docs#restrict_scalars.normed_space


Last updated: Dec 20 2023 at 11:08 UTC