# continuous operator

## continuous operator

[kən¦tin·yə·wəs ′äp·ə‚rād·ər]
(mathematics)
A linear transformation of Banach spaces which is continuous with respect to their topologies.
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References in periodicals archive ?
They do not need initial or continuous operator training, operator intervention, or management of the process.
Required is a simple operation with a continuous operator logic well as optical feedback.
1] [member of] A (D) defines the continuous operator (Duhamel operator) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be the Lipschitz continuous operator with constant [delta] = r/r - r'.
Keywords: Time scale, delta and nabla derivatives and integrals, Green's function, completely continuous operator, eigenfunction expansion.
Then A : K [right arrow] K is a completely continuous operator.
Easily retrofitted onto ruling, paper folding, embossing, sheeting and other converting equipment where sheets are manually removed, the Series 200 Stacker provides a well-jogged pile and eliminates the need for continuous operator attention at the collecting area.
LCI will provide administrative support for the telecommunications aspect of the ICAM system, as well as continuous operator assistance and trouble monitoring.
Previously, application processing procedures at the IEEE were executed manually, requiring continuous operator supervision and creating delays that impinged on morning operations.
1]) [right arrow] K is completely continuous operator such that either
Let g be a strongly monotone and Lipschitz continuous operator with constants [sigma] > 0 and [delta] > 0 respectively.
1]) [right arrow] K is completely continuous operator such that either (i) [parallel]Au[parallel] [less than or equal to] [parallel]u[parallel], u [member of] k [intersection] [partial derivative][[OMEGA].

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