identity operator


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identity operator

[ī′den·ə‚dē ‚äp·ə‚rād·ər]
(mathematics)
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In fact, the identity operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is AM-compact but its second power [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is not weakly compact.
In fact, the identity operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is of strong type B but its second power [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is not weakly compact.
K], where I is the identity operator and g is a nonlinear operator.
Note that if g = I, the identity operator, then Algorithm 3.
For an example, we have to just take the preceding example or the identity operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
In fact, the identity operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is semi-compact but its square [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is not L-weakly compact (resp.
K], where I is the identity operator and g is a given nonlinear operator such that its inverse exists.