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ID:33732444
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页数:25页
时间:2019-02-28
《关于保持距离映射的aleksandrov问题》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、(4)LetXandYbetwoquasiconvex2-normedlinearspaces.SupposethatfXYbeaffineanditpreserveallareasm<1.Thenfisan2-isometry.Thesecondsection,isdevotedtotheAleksandrovprobleminHibertspace,themainresults:(1)LetXandYbeHibertspaces,dimX>2,assumethatf:XYpreservestwodistance
2、s1and^n2-1+^m2-1,thenfisalinearisometryuptotranslation.(2)LetXandYbeHibertspaces,dimX>2,assumethatf:XYpreservestwodistances1andy^.n2-§+^Jm2-1,thenfisalinearisometryuptotranslation.Inthethirdsection,weconsideredtheAleksandrovprobleminRnspace.weprovedthat:Assume
3、thatf:Rn-1——^Rnpreservestwodistances1andU/k2-x2a_2+ym2-ᕷ_2),thenfisalinearisometryuptotranslation.(x2_^^n==-21(_1)i(n_i)2)(xn_2_(n_1)2).KeyWords:isometry;Aleksandrovproblem;quasi-convexnormedlinearspace;Hilbertspace;Rnspace.万方数据!îoí"#..........................
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