Weak convergence of inner superposition operators

Drakhlin, Mikhail; Stepanov, Eugene

doi:10.1090/S0002-9939-98-03949-5

Weak convergence of inner superposition operators
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by Mikhail E. Drakhlin and Eugene Stepanov PDF

Proc. Amer. Math. Soc. 126 (1998), 173-179 Request permission

Abstract:

The equivalence of the weak (pointwise) and strong convergence of a sequence of inner superposition operators is proved as well as the criteria for such convergence are provided. Besides, the problems of continuous weak convergence of such operators and of representation of a limit operator are studied.

References

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