Weighted composition operators on discrete weighted Banach spaces

Weighted composition operators on discrete weighted Banach spaces

We study weighted composition operators on weighted Banach spaces over unbounded, locally finite metric spaces. We characterize the operators that are bounded, compact, being bounded below, having closed range, invertible, being a (surjective) isometry, and are Fredholm. Several examples are present...

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Veröffentlicht in:Acta scientiarum mathematicarum (Szeged) 2022-12, Vol.88 (3-4), p.639-671
Hauptverfasser: Allen, Robert F., Allen, Matthew A.
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Beschreibung
Zusammenfassung:We study weighted composition operators on weighted Banach spaces over unbounded, locally finite metric spaces. We characterize the operators that are bounded, compact, being bounded below, having closed range, invertible, being a (surjective) isometry, and are Fredholm. Several examples are presented illustrating the diversity of such operators.
ISSN:0001-6969
2064-8316
DOI:10.1007/s44146-022-00051-w