(mathematics) Given a bounded linear operator B and its adjoint B*, the self-commutator is B*B - BB*.

plural of commutative algebra

plural of commutative ring

plural of commutative justice

(mathematics) A theorem in operator theory, stating that, if T is a contraction on a Hilbert space H, and U is its minimal unitary dilation acting on some Hilbert space K, and R is an operator on H commuting with T, then there is an operator S on K commuting with U such that RTⁿ=P_HSUⁿ|_H;∀n≥0, and ‖S‖=‖R‖. In other words, an operator from the commutant of T can be "lifted" to an operator in the commutant of the unitary dilation of T.

(algebra) A relatively new discipline in mathematics that combines techniques and concepts from combinatorics and commutative algebra, and in which the geometry of convex polytopes also plays a significant role.

The people, infrastructure, and activities associated with commuting.

plural of commuterliner

A passenger-carrying aircraft used for commuter flights.