Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 288-01. Kadison's similarity theorem through uniform derivation estimates
Manuscript map · lines 8155–8164
OpenAI@2026-10-07#rem:oai-p-288-01
Authors: OpenAI. Family 288.
Title: Kadison's similarity theorem through uniform derivation estimates.
Abstract: We prove that every bounded complex-linear unital algebra homomorphism from a unital complex C∗-algebra into the bounded operators on an arbitrary Hilbert space is similar to a $*$-homomorphism. This resolves Kadison's similarity conjecture positively. We also obtain one universal hyperreflexivity constant for all unital von Neumann algebras on arbitrary complex Hilbert spaces.
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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