A surjective summation operator with no Lipschitz right inverse
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A surjective summation operator with no Lipschitz right inverse
Laustsen, Niels Jakob
;
Messerschmidt, Miek
;
Wortel, Marten
URI:
http://hdl.handle.net/2263/93727
Date:
2024-01
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.
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Research Articles (Mathematics and Applied Mathematics)
687
Research Articles (University of Pretoria)
36999
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