closed operator


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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.
References in periodicals archive ?
We can define the order closed operator on ordered dualistic partial metric spaces by the following way.
The framework agreement will be per lot with a closed operator.
Then Weaver goes on to define a quantum relation on a von Neumann algebra to be a weak* closed operator bimodule over its commutant.