closed operator


closed operator

[¦klōzd ′äp·ə‚rād·ər] (mathematics) A linear transformation ƒ whose domain A is contained in a normed vector space X satisfying the condition that if lim xn = x for a sequence xn in A, and lim ƒ(xn) = y, then x is in A and ƒ(x) = y.