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- W4313593560 abstract "We study 1D discrete Schrödinger operators H with integer-valued potential and show that, (i), invertibility (in fact, even just Fredholmness) of H always implies invertibility of its half-line compression H+ (zero Dirichlet boundary condition, i.e. matrix truncation). In particular, the Dirichlet eigenvalues avoid zero – and all other integers. We use this result to conclude that, (ii), the finite section method (approximate inversion via finite and growing matrix truncations) is applicable to H as soon as H is invertible. The same holds for H+." @default.
- W4313593560 created "2023-01-06" @default.
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- W4313593560 date "2023-06-01" @default.
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- W4313593560 title "Half-line compressions and finite sections of discrete Schrödinger operators with integer-valued potentials" @default.
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- W4313593560 doi "https://doi.org/10.1016/j.jmaa.2022.126984" @default.
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