complex conjugate

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Related to Complex conjugation: Real part, Complex conjugacy

complex conjugate

[′käm‚pleks ′kän·jə·gət]
(mathematics)
One of a pair of complex numbers with identical real parts and with imaginary parts differing only in sign. Also known as conjugate.
The matrix whose elements are the complex conjugates of the corresponding elements of a given matrix.
References in periodicals archive ?
(iii) If 2[square root of 2] < a, then [[summation].sup.a.sub.f] is a CM-field (i.e., the complex conjugation lies in Cl([[alpha].sup.2.sub.1][[sigma].sup.2.sub.2]) contained in the center of the group).
(ii) Let X be a closed subspace of [U.sup.[infinity]](G) with [1.sub.G] [member of] X that is closed under complex conjugation and topologically invariant.
Let G be a locally compact group, X a subspace of [L.sup.[infinity]](G) with [1.sub.G] [member of] X that is closed under complex conjugation, invariant and topologically invariant.
(3) Complex conjugation maps [HC.sup.1,0] (K) to [HC.sup.0,1] (K) and vise verse.
Let X be an arbitrary topological space and A a unitary subalgebra of C(X) which is either a [C.sub.b](X)-module or closed under the complex conjugation. Then there exists an algebra norm on A if and only if A [subset] [C.sub.b](X).
Let X be a Hausdorff completely regular space and A a subalgebra of C(X) which is either a [C.sub.b](X)-module or closed under the complex conjugation. Then every character on A is an evaluation at some point of [beta]X.
Let X be a Hausdor ff completely regular space, A [subset] C (X) a unitary algebra which is both a [C.sub.b](X)-module and closed under the complex conjugation. If T is a locally m-convex Hausdorff topology on A, then every open set U [subset] [beta]X contains, at least, some [x.sub.U] the evaluation at which is continuous on A.