commutantとは 意味・読み方・使い方

発音

名詞

commutant (plural commutants)

1. (algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset
   • 2008 September 27, John Earman, “Superselection Rules for Philosophers”, in Erkenntnis, volume 69, number 3, →DOI:

     The basic mathematical entity to be used here in elucidating the different senses of superselection rules is a von Neumann algebra ${\displaystyle {\mathfrak {M}},}$ a concrete C * -algebra 6 of bounded linear operators acting on a Hilbert space 7 ${\displaystyle {\mathcal {H}}}$ that is closed in the weak topology 8 or, equivalently, 9 that has the property that ${\displaystyle ({\mathfrak {M}}^{\prime })^{\prime }:={\mathfrak {M}}^{\prime \prime }={\mathfrak {M}},}$ where “′” denotes the commutant.

派生語

参考

• commutant on Wikipedia.Wikipedia