Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 293-02. Backward intertwiners and a transitive commutant
Manuscript map · lines 8275–8284
OpenAI@2026-10-07#rem:oai-p-293-02
Authors: OpenAI. Family 293.
Title: Backward intertwiners and a transitive commutant.
Abstract: We give a negative answer to the hyperinvariant-subspace problem by constructing, on every infinite-dimensional separable complex Hilbert space, a nonzero bounded norm-quasinilpotent operator with no nonzero proper closed hyperinvariant subspace. Its commutant is a proper strongly closed unital transitive complex operator algebra.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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