Opuscula Math. 41, no. 5 (2021), 649-665
Closed range weighted composition operators between Lp-spaces
Abstract. We characterize the closedness of ranges of weighted composition operators between \(L^p\)-spaces, where \(1 \leq p \leq \infty\). When the \(L^p\)-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.
Keywords: weighted composition operator, Lebesgue space, closed range.
Mathematics Subject Classification: 47B33, 46E30.
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- Communicated by P.A. Cojuhari.
- Received: 2021-07-29.
- Accepted: 2021-08-10.
- Published online: 2021-09-30.