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Seminorm tvs - #1963
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Seminorm tvs#1963
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The changelog is broken, i'll fix it asap |
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(I think that we are almost there but I postpone to the next release that should happen quickly anyway) |
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Thank you for your work on this PR. Do tell me how I can help, I can see you did a lot of linting. |
| Theorem hahn_banach_extension_subctvs (F' : subConvexTvsType F) | ||
| (f : {linear F' -> R}) : | ||
| (exists2 p : SemiNorm.type V, seminorm_of p & forall z : F', f z <= p (val z)) -> | ||
| exists g : {linear_continuous V -> R}, forall x : F', g (val x) = f x. |
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@CohenCyril is there a way to not have to write val explicitly?
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- adding also initial fam topology, gauge functions, and subbase 0basis - hahn banach initial_subctvs Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp> Co-authored-by: Cyril Cohen <cyril.cohen@inria.fr>
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This PR has been discussed by at least three people over a period of several months following the standard literature, it is robust (in particular, it was not affected by the recent changes to the formalization of topological{N,Z,L} spaces and related structures), and it is necessary to make progress regarding TVSs. Let's merge!
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Motivation for this change
Describing topological vector spaces as vector spaces whose topology is induced by a family of seminorms. Adapting the Hahn-Banach theorem to topological vector spaces. This is necessary to formalise duality theory.
Checklist
CHANGELOG_UNRELEASED.mdReference: How to document
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all compile are preferentially merged into master.
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