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Linear_continuous structure#1913

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mkerjean wants to merge 5 commits intomath-comp:masterfrom
mkerjean:linear_continuous
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Linear_continuous structure#1913
mkerjean wants to merge 5 commits intomath-comp:masterfrom
mkerjean:linear_continuous

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@mkerjean
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Motivation for this change

This PR gives the structure of a lmdotype R to:

  • {linear E -> F} when E, F : lmodType R
  • {linear_continuous E -> F} when E F : convextvsType R. It also defined the {linear_continuous _ -> _} structure.

This development is essential to the study of topological duals E' in topological vector spaces, and more generally to the study of closed categories in functional analysis.
Another pull request will enforce the topological structures on {linear_continuous E -> F} ( as a convextvsType, or metric/normed when F is metric or normed).

Checklist
  • added corresponding entries in CHANGELOG_UNRELEASED.md
  • added corresponding documentation in the headers

Reference: How to document

Merge policy

As a rule of thumb:

  • PRs with several commits that make sense individually and that
    all compile are preferentially merged into master.
  • PRs with disorganized commits are very likely to be squash-rebased.
Reminder to reviewers

@mkerjean mkerjean closed this Mar 20, 2026
@mkerjean mkerjean reopened this Mar 20, 2026
@mkerjean mkerjean force-pushed the linear_continuous branch 2 times, most recently from 13446e9 to 9c3b607 Compare March 21, 2026 12:56
@mkerjean mkerjean force-pushed the linear_continuous branch from 70ebb90 to 0c4beb3 Compare March 25, 2026 06:49

End lcfun_pred.

Reserved Notation "'{' 'linear_continuous' U '->' V '|' s '}'"
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Move to the top of the file.

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2 participants