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Linear_continuous structure#1913

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mkerjean:linear_continuous
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Linear_continuous structure#1913
mkerjean wants to merge 1 commit intomath-comp:masterfrom
mkerjean:linear_continuous

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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 from b3904ef to 15b15e6 Compare March 20, 2026 12:23
Co-authored-by: Cyril Cohen <cohen@crans.org>
@mkerjean mkerjean force-pushed the linear_continuous branch from 13446e9 to 9c3b607 Compare March 21, 2026 12:56
(* with uniformly continuous opposite operator *)
(* PreUniformLmodule K == HB class, join of Uniform and Lmodule over K *)
(* K is a numDomainType. *)
(* K is a numDomainType *)
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Suggested change
(* K is a numDomainType *)
(* K is a numDomainType. *)

(* UniformLmodule K == HB class, join of UniformNmodule and Lmodule *)
(* with a uniformly continuous scaling operation *)
(* K is a numFieldType. *)
(* K is a numFieldType *)
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Suggested change
(* K is a numFieldType *)
(* K is a numFieldType. *)

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2 participants