question: What does the von Neumann bicommutant theorem show ?
answer: the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries .
turker_answer: The von Neumann bicommutant theorem shows the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries .
rule-based: The von Neumann bicommutant theorem shows the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries .