Laustsen, Niels JakobMesserschmidt, MiekWortel, Marten2023-12-042023-12-042024-01Laustsen, N.J., Messerschmidt, M. & Wortel, M., 2024, 'A surjective summation operator with no Lipschitz right inverse', Proceedings of the American Mathematical Society, vol. 152, no. 1, pp. 253-266, doi : 10.1090/proc/16496.0002-9939 (print)1088-6826 (online)10.1090/proc/16496http://hdl.handle.net/2263/93727We show that there exists a Banach space X which contains closed subspaces Y and Z with Y+Z=X such that the associated surjective summation operator Σ: Y×Z→X defined by Σ(y,z)= y+z for y∈Y and z∈Z has no Lipschitz right inverse.en© 2023 American Mathematical Society.Lipschitz right inverseSurjective summation operatorPostprint Article