The Fredholm index of locally compact band-dominated operators on Lᵖ (R)
Rabinovich, Vladimir S. · Roch, Steffen
Original · EN
We establish a necessary and sufficient criterion for the Fredholmness of a general locally compact band-dominated operator A on Lᵖ(R) and solve the long-standing problem of computing its Fredholm index in terms of the limit operators of A. The results are applied to operators of convolution type with almost periodic symbol.
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