ON THE SETS OF GATEAUX NON-DIFFERENTIABILITY OF LIPSCHITZ ISOMORPHISM BETWEEN BANACH SPACES＊t
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-diiTere...
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| Veröffentlicht in: | 应用数学年刊：英文版 2015 (3), p.324-328 |
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| container_title | 应用数学年刊：英文版 |
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| creator | Yingbin Ruan |
| description | 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. |
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| ispartof | 应用数学年刊：英文版, 2015 (3), p.324-328 |
| issn | 2096-0174 |
| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | 函数 应用数学 数学分析 数学理论 |
| title | ON THE SETS OF GATEAUX NON-DIFFERENTIABILITY OF LIPSCHITZ ISOMORPHISM BETWEEN BANACH SPACES＊t |
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