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Weak convergence of inner superposition operators |
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| Authors: | Mikhail E Drakhlin Eugene Stepanov |
| Institution: | Research Institute, College of Judea and Samaria, Kedumim-Ariel, D.N. Efraim 44820, Israel Eugene Stepanov ; Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy |
| 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. |
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