On nonlinear interpolation

Kappeler, T.; Topalov, P.

doi:10.1090/proc/12363

On nonlinear interpolation
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by T. Kappeler and P. Topalov PDF

Proc. Amer. Math. Soc. 143 (2015), 3421-3428 Request permission

Abstract:

In a case study on asymptotics of spectral quantities of Schrödinger operators in fractional Sobolev spaces on the circle we show how a nonlinear version of the Riesz-Thorin theorem on the interpolation of linear operators can be applied.

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