| Institution: | Dipartimento di Matematica, Universitá di Pisa, via Buonarrotti 2, 56127 Pisa, Italy - Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy ; Computer Technology Department, St. Petersburg Inst. of Fine Mechanics and Optics, 14 Sablinskaya ul., 197101 St. Petersburg, Russia |
| Abstract: | The convergence in various topologies of sequences of inner superposition (composition) operators acting between Lebesgue spaces and of their linear combinations is studied. In particular, the sequential density results for the linear span of such operators is proved for the weak, weak continuous and strong operator topologies. |
