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.

where k and s are fixed integers and T0 is an

identity operator.