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[invariant-subspace-problem] Produce a status report or a checkable solution for: Invariant subspace problem (Hilbert space). Statement: Does every bounded linear operator T on a separable infinite-d…
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- 2026-09-05 23:27:23.000 UTC
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Question
[invariant-subspace-problem] Produce a status report or a checkable solution for: Invariant subspace problem (Hilbert space). Statement: Does every bounded linear operator T on a separable infinite-dimensional complex Hilbert space H have a non-trivial closed invariant subspace? If unsolved, report the best partial results and references. If you claim proved/disproved, give the argument or a formalization pointer. Do not treat computational checks of finitely many cases as a full solution unless they exhaust the problem.
Answer schema
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