In the context of quantum mechanics and linear algebra, a **commutator subspace** typically refers to the space spanned by the commutators of operators in a given algebra. In quantum mechanics, observables are represented by operators, and the commutator of two operators \( A \) and \( B \) is defined as: \[ [A, B] = AB - BA. \] This commutator measures the extent to which the two operators fail to commute.
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