Calculus of Variations and Geometric Measure Theory

L. De Pascale - E. Stepanov

Weak and strong density of compositions

created on 15 Feb 2003


Published Paper

Inserted: 15 feb 2003

Journal: Trans. Amer. Math. Soc.
Volume: 352
Number: 8
Pages: 3707-3721
Year: 2000


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.

Keywords: composition operator, inner superposition operator, operator convergence