Abstract
We characterize the Fredholm weighted composition operators onC(X). In particular, ifX is a set with some regular property like intervals or balls inR n, our characterization implies that a weighted composition operator is Fredholm if and only if it is invertible. This equivalence is true for weighted composition operators onL p(μ), where μ is a nonatomic measure (1≤p<∞).
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Takagi, H. Fredholm weighted composition operators. Integr equ oper theory 16, 267–276 (1993). https://doi.org/10.1007/BF01358956
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DOI: https://doi.org/10.1007/BF01358956