Lindner, MarkoMarkoLindnerSeidel, MarkusMarkusSeidel2021-05-142021-05-142014-04-03J. Funct. Anal., 267(3): 901-917 267 (2014)http://hdl.handle.net/11420/9524An operator on an lᵖ-space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation. It is known that a rich band-dominated operator is 𝓟-Fredholm (which is a generalization of the classical Fredholm property) if and only if all of its so-called limit operators are invertible and their inverses are uniformly bounded. We show that the condition on uniform boundedness is redundant in this statement.en1096-078320143901917ElsevierBand-dominated operatorFredholm theoryLimit operatorMathematics - Functional AnalysisMathematics - Functional AnalysisMathematics - Operator AlgebrasMathematikJournal Article10.1016/j.jfa.2014.03.0021401.1300v2Other