Weak and Strong Density of Compositions

De Pascale, Luigi; Stepanov, Eugene

doi:10.1090/S0002-9947-00-02510-1

Weak and Strong Density of Compositions
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by Luigi De Pascale and Eugene Stepanov PDF

Trans. Amer. Math. Soc. 352 (2000), 3707-3721 Request permission

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.

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