For every maximal abelian subalgebra of a complex von Neumann algebra, every self-adjoint operator is a strong-operator limit of self-adjoint approximants of norm at most three times its norm, each admitting norm paving to relative error ε with at most Cε⁻⁶ projections for a universal C.
For every maximal abelian subalgebra of a complex von Neumann algebra, every self-adjoint operator is a strong-operator limit of self-adjoint approximants of norm at most three times its norm, each admitting norm paving to relative error ε with at most Cε⁻⁶ projections for a universal C.
For every maximal abelian subalgebra of a complex von Neumann algebra, every self-adjoint operator is a strong-operator limit of self-adjoint approximants of norm at most three times its norm, each admitting norm paving to relative error ε with at most Cε⁻⁶ projections for a universal C.
If correct, resolves the Popa–Vaes approximation-paving conjecture without separability or conditional-expectation assumptions.
Can every maximal abelian subalgebra approximate-pave every self-adjoint operator?
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OpenAI reports approximation paving for every maximal abelian subalgebra
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