摘要
We prove that for every Lipschitz isomorphism f from a separable Hilbert space H to a Banach space Y with Radon-Nikodym property, there is a bounded surjective linear operator T: H → Y so that (f + T)-1 (NG(f-1)) is a r-null set of H, where NG(f-1) is the set of all the points of Gateaux non-diiTerentiability of f -1.
We prove that for every Lipschitz isomorphism f from a separable Hilbert space H to a Banach space Y with Radon-Nikodym property, there is a bounded surjective linear operator T: H → Y so that (f + T)-1 (NG(f-1)) is a r-null set of H, where NG(f-1) is the set of all the points of Gateaux non-diiTerentiability of f -1.
基金
supported by the National Natural Science Foundation of China(11171066)
the Natural Science Foundation of Fujian Province(2013J01003)