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 ?
2]([mu]), must be a densely defined closed operator S: D(S) [subset] [L.
2]([mu]) is defined to be the closed operator S: D(S) [subset] [L.
Then Weaver goes on to define a quantum relation on a von Neumann algebra to be a weak* closed operator bimodule over its commutant.
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.
This graduate-level text is intended to provide an introduction to the common ground of its two subjects in topics such as operators and Hardy spaces, closed operators, shift-invariance and causality, stability and stabilization, spaces of persistent signals, and delay systems.