论文目录 | |
| 摘要 | 第1-7页 |
| Abstract | 第7-10页 |
| 1 Introduction | 第10-14页 |
| 2 The representation theorem of the surjective isometries of the unit sphere | 第14-42页 |
| · The surjective isometries from S(J_p) onto itself | 第14-34页 |
| · The surjective isometries from S(T) onto itself | 第34-42页 |
| 3 The Surjective isometries between the unit spheres of L~p spaces and a Banach space E | 第42-72页 |
| · The L~∞-case | 第42-49页 |
| · The L~p-case for 1 | 第49-63页 |
| · On isometric extension of 1-Lipschitz map be tween unit spheres of L~p(μ_1,H_1) and (μ_2,H_2) | 第50-53页 |
| · On extension of isometries between unit spheres of L~p(μ) and a Banach space | 第53-63页 |
| · The L~p-case for 0 | 第63-72页 |
| 4 The relation between surjective nonexpansive map and isome— tries defined on the unit sphere | 第72-86页 |
| · The L~∞(Г)-type spaces | 第72-78页 |
| · The l~β-spaces(0<β≤1) | 第78-86页 |
| 5 On maps Which preserve equality of distance in F~*-spaces | 第86-92页 |
| · Preliminaries | 第86-87页 |
| · Main results | 第87-92页 |
| Bibliography | 第92-96页 |
| Resume and Publications | 第96-98页 |
| Acknowledgements | 第98
页 |
