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. ©1998 American Mathematical Society.
Weak convergence of inner superposition operators
Stepanov E.
1998-01-01
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. ©1998 American Mathematical Society.File in questo prodotto:
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