Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 300-02. Quadratic Strong-Operator Paving over Arbitrary Maximal Abelian Subalgebras
Manuscript map · lines 8355–8364
OpenAI@2026-10-07#rem:oai-p-300-02
Authors: OpenAI. Family 300.
Title: Quadratic Strong-Operator Paving over Arbitrary Maximal Abelian Subalgebras.
Abstract: We prove the quadratic strong-operator paving conjecture of Popa and Vaes. For every $0{}lt {}varepsilon {}lt 1$, every self-adjoint element of a von Neumann algebra admits strong-operator paving over each maximal abelian subalgebra with at most $5{}times10{}8{}varepsilon {}{-2}$ projections. The bound is uniform over representations and requires no separability or conditional-expectation assumption.
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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