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continuous operator
(redirected from Bounded operator)

   Also found in: Wikipedia 0.01 sec.
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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x]H(t, x)[integral](t)dt and clearly since H(t, x) is continuous, 1 + H and its adjoint are bounded operators acting in [L.
For p [member of] [1, 2], there exists a unique bounded operator Q from [Y.
Contents: 1 Measures 2 Construction of measures 3 Measure and topology 4 Continuous linear functionals 5 Duality 6 Bounded operators 7 Banach algebras 8 Hilbert spaces 9 Integral representation 10 Unbounded operators Application I Probability Application II Distributions Bibliography Index For more information visit http://www.
 
 
 
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