Skip to content

feat(MeasureTheory/VectorMeasure): add integral of a vector-valued function against a vector measure#28499

Open
yoh-tanimoto wants to merge 124 commits intoleanprover-community:masterfrom
yoh-tanimoto:yoh-tanimoto-vectormeasure-integral
Open

feat(MeasureTheory/VectorMeasure): add integral of a vector-valued function against a vector measure#28499
yoh-tanimoto wants to merge 124 commits intoleanprover-community:masterfrom
yoh-tanimoto:yoh-tanimoto-vectormeasure-integral

Conversation

@yoh-tanimoto
Copy link
Copy Markdown
Collaborator

@yoh-tanimoto yoh-tanimoto commented Aug 15, 2025

add VectorMeasureWithPairing.integral for normed vector spaces E, F, a Banach space G , a continuous linear pairing B : E →L[ℝ] F →L[ℝ] → G and an F-valued vector measure μ, which should be informally written as ∫ B (f x) ∂μ x.

motivation: there are natural vector measures such as signed measures and complex measures, and their integrals appear naturally e.g. in a proof of the spectral theorem for general bounded normal operators on a Hilbert space.

@mathlib4-merge-conflict-bot
Copy link
Copy Markdown
Collaborator

This pull request has conflicts, please merge master and resolve them.

@mathlib4-merge-conflict-bot mathlib4-merge-conflict-bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Nov 19, 2025
@github-actions github-actions bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 5, 2026
@mathlib-merge-conflicts mathlib-merge-conflicts bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Feb 11, 2026
@mathlib-merge-conflicts
Copy link
Copy Markdown

This pull request has conflicts, please merge master and resolve them.

@mathlib-dependent-issues mathlib-dependent-issues bot removed the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Apr 8, 2026
@mathlib-dependent-issues
Copy link
Copy Markdown

@github-actions github-actions bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Apr 9, 2026
@EtienneC30 EtienneC30 self-assigned this Apr 9, 2026
@EtienneC30 EtienneC30 added the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 9, 2026
@yoh-tanimoto
Copy link
Copy Markdown
Collaborator Author

I noticed that μ.variation is not the correct reference measure. I switched it to (μ.comp B.flip).variation.

@yoh-tanimoto yoh-tanimoto removed the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 12, 2026
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

t-measure-probability Measure theory / Probability theory

Projects

None yet

Development

Successfully merging this pull request may close these issues.

7 participants