10 citations · 51 across the 31 of their papers we have counts for
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math.FA2014
Interpolation of nonlinear maps
T. Kappeler, A. Savchuk, A. Shkalikov +1
Let and be complex Banach couples and assume that with norms satisfying for some . For any $0<θ<1…
math.FA2013★ 1 cited
On nonlinear interpolation
Thomas Kappeler, Peter Topalov
In a case study on asymptotics of spectral quantities of Schrödinger operators we show how the Riesz-Thorin theorem on the interpolation of linear operators can be extended to nonl…
math.FA2007
On the symplectic phase space of KdV
T. Kappeler, F. Serier, P. Topalov
We prove that the Birkhoff map $\Om$ for KdV constructed on $H^{-1}_0(\T)$ can be interpolated between $H^{-1}_0(\T)$ and $L^2_0(\T)$. In particular, the symplectic phase space $H^…