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feat(QuantumMechanics): adjoint of continuous operators#1443

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feat(QuantumMechanics): adjoint of continuous operators#1443
gloges wants to merge 5 commits into
leanprover-community:masterfrom
gloges:operator-misc

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@gloges gloges commented Jul 19, 2026

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  • Adds adjoint_domain_of_continuous: U†.domain = ⊤ when U is a continuous (equivalently, bounded) operator
  • Adds HasDenseDomain.adjoint_add_continuous (and a sub variant): (T₁ + T₂)† = T₁† + T₂† with T₂ continuous (equivalently, bounded).
  • Simplifies the proof IsUnbounded.orthogonal_closure_sub_range using adjoint_sub_continuous

Also takes the opportunity to move the IsUnbounded section of Unbounded.lean before those for IsSymmetric, etc. so that results for general unbounded operators can be used in more specialized cases.

Currently a draft since will need to merge after #1432.

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Thank you for this PR, which will now be reviewed. If submitting to ./Physlib or ./QuantumInfo, please see our review guidelines if you are not familiar with the process. You should expect a back and forth with a reviewer before your PR is merged. See also that link for how to add appropriate labels to your PR. The PR will also go through a number of automated checks. You can learn more about these here, including how to run them locally.

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@github-actions github-actions Bot added the t-quantum-mechanics Quantum mechanics label Jul 19, 2026
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gloges marked this pull request as ready for review July 19, 2026 13:07
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