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- Title
Fredholm Weighted Composition Operators Between Lipschitz Algebras.
- Authors
Mahyar, Hakimeh; Mohammadi, Sajjad
- Abstract
Let X and Y be (not necessarily compact) metric spaces. We provide a complete description of Fredholm weighted composition operators between Lipschitz algebras Lip α (X) and Lip α (Y) for 0 < α ≤ 1 . All results and some more hold when such operators are between little Lipschitz algebras lip α (X) and lip α (Y) with 0 < α < 1 . As an application, we characterize Fredholm multiplication operators on little Lipschitz algebras and show that the Fredholm index of such operators is zero.
- Subjects
FREDHOLM operators; ALGEBRA; METRIC spaces; COMPOSITION operators
- Publication
Results in Mathematics / Resultate der Mathematik, 2023, Vol 78, Issue 5, p1
- ISSN
1422-6383
- Publication type
Article
- DOI
10.1007/s00025-023-01956-w