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.References
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Additional Information
- T. Kappeler
- Affiliation: Mathematics Institute, University of Zurich, Winterthurerstr. 190, CH-8057 Zurich, Switzerland
- P. Topalov
- Affiliation: Department of Mathematics, Northeastern University, 360 Huntington Avenue, Boston, Massachusetts 02115
- Received by editor(s): July 15, 2013
- Published electronically: April 23, 2015
- Additional Notes: The first author was supported in part by the Swiss National Science Foundation
The second author was supported in part by the NSF grant DMS-0901443. - Communicated by: Yingfei Yi
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 3421-3428
- MSC (2010): Primary 46B70, 46B45, 47J35
- DOI: https://doi.org/10.1090/proc/12363
- MathSciNet review: 3348785