A surjective summation operator with no Lipschitz right inverse

dc.contributor.author	Laustsen, Niels Jakob
dc.contributor.author	Messerschmidt, Miek
dc.contributor.author	Wortel, Marten
dc.date.accessioned	2023-12-04T12:51:16Z
dc.date.available	2023-12-04T12:51:16Z
dc.date.issued	2024-01
dc.description.abstract	We 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_US
dc.description.department	Mathematics and Applied Mathematics	en_US
dc.description.librarian	hj2023	en_US
dc.description.sdg	None	en_US
dc.description.uri	http://www.ams.org/publications/journals/journalsframework/proc	en_US
dc.identifier.citation	Laustsen, 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.	en_US
dc.identifier.issn	0002-9939 (print)
dc.identifier.issn	1088-6826 (online)
dc.identifier.other	10.1090/proc/16496
dc.identifier.uri	http://hdl.handle.net/2263/93727
dc.language.iso	en	en_US
dc.publisher	American Mathematical Society	en_US
dc.rights	© 2023 American Mathematical Society.	en_US
dc.subject	Lipschitz right inverse	en_US
dc.subject	Surjective summation operator	en_US
dc.title	A surjective summation operator with no Lipschitz right inverse	en_US
dc.type	Postprint Article	en_US