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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.doi:10.1090/s0002-9947-00-02510-1 fatcat:ggwll3pfu5fptbigmui5mfuhsq