[Merged by Bors] - feat: simplify proof of spectrum.nonempty using the cobounded filter
#8246
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
leanprover-community-mathlib4-bot
added
blocked-by-other-PR
leanprover-community-mathlib4-bot
removed
merge-conflict
|
This PR/issue depends on: |
|
bors r+ |
github-actions
bot
added
ready-to-merge
mathlib-bors bot
pushed a commit
that referenced
this pull request
Nov 13, 2023
#8246) This uses the API developed in these recent PRs (for the cobounded filter and some corollaries to Liouville's theorem) to greatly simplify the proof of `spectrum.nonempty`. Previously, this depended on the technical lemma `spectrum.norm_resolvent_le_forall`, and now we instead prove the greatly simplified `spectrum.resolvent_isBigO_inv` and `spectrum.resolvent_tendsto_cobounded`. - [ ] depends on: #8234 - [ ] depends on: #8244
|
Pull request successfully merged into master. Build succeeded: |
mathlib-bors
bot
changed the title
spectrum.nonempty using the cobounded filterspectrum.nonempty using the cobounded filter
alexkeizer
pushed a commit
that referenced
this pull request
Nov 17, 2023
#8246) This uses the API developed in these recent PRs (for the cobounded filter and some corollaries to Liouville's theorem) to greatly simplify the proof of `spectrum.nonempty`. Previously, this depended on the technical lemma `spectrum.norm_resolvent_le_forall`, and now we instead prove the greatly simplified `spectrum.resolvent_isBigO_inv` and `spectrum.resolvent_tendsto_cobounded`. - [ ] depends on: #8234 - [ ] depends on: #8244
alexkeizer
pushed a commit
that referenced
this pull request
Nov 21, 2023
#8246) This uses the API developed in these recent PRs (for the cobounded filter and some corollaries to Liouville's theorem) to greatly simplify the proof of `spectrum.nonempty`. Previously, this depended on the technical lemma `spectrum.norm_resolvent_le_forall`, and now we instead prove the greatly simplified `spectrum.resolvent_isBigO_inv` and `spectrum.resolvent_tendsto_cobounded`. - [ ] depends on: #8234 - [ ] depends on: #8244
grunweg
pushed a commit
that referenced
this pull request
Dec 15, 2023
#8246) This uses the API developed in these recent PRs (for the cobounded filter and some corollaries to Liouville's theorem) to greatly simplify the proof of `spectrum.nonempty`. Previously, this depended on the technical lemma `spectrum.norm_resolvent_le_forall`, and now we instead prove the greatly simplified `spectrum.resolvent_isBigO_inv` and `spectrum.resolvent_tendsto_cobounded`. - [ ] depends on: #8234 - [ ] depends on: #8244
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
This uses the API developed in these recent PRs (for the cobounded filter and some corollaries to Liouville's theorem) to greatly simplify the proof of
spectrum.nonempty. Previously, this depended on the technical lemmaspectrum.norm_resolvent_le_forall, and now we instead prove the greatly simplifiedspectrum.resolvent_isBigO_invandspectrum.resolvent_tendsto_cobounded.