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.

Weak compactness of AM-compact operators

K], where I is the identity operator and g is a nonlinear operator.

Note that if g = I, the identity operator, then Algorithm 3.

Wiener-Hopf equations technique for multivalued general variational inequalities

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.

On some properties of the class of semi-compact operators

K], where I is the identity operator and g is a given nonlinear operator such that its inverse exists.

On a class of general variational inequalities

where k and s are fixed integers and T0 is an identity operator.

Some stability results for two hybrid fixed point iterative algorithms of Kirk-Ishikawa and Kirk-Mann type