Abstract
In an earlier paper we showed that the sequence of the finite sections P n AP n of a band-dominated operator A on l p(ℤ) is stable if and only if the operator A is invertible, every limit operator of the sequence (P n AP n ) is invertible, and if the norms of the inverses of the limit operators are uniformly bounded. The purpose of this short note is to show that the uniform boundedness condition is redundant.
This work has been partially supported by CONACYT project 43432 and DFG Grant 444 MEX-112/2/05
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Rabinovich, V.S., Roch, S., Silbermann, B. (2008). On Finite Sections of Band-dominated Operators. In: Bastos, M.A., Lebre, A.B., Speck, FO., Gohberg, I. (eds) Operator Algebras, Operator Theory and Applications. Operator Theory: Advances and Applications, vol 181. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8684-9_19
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DOI: https://doi.org/10.1007/978-3-7643-8684-9_19
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