ELEMENTARY PROOF OF NONEXISTENCE OF ISOMETRIES BETWEEN LPK AND LQK

被引:4
作者
COPPERSMITH, D [1 ]
LEE, DT [1 ]
WONG, CK [1 ]
机构
[1] UNIV ILLINOIS,DEPT COMP SCI,URBANA,IL 61801
关键词
D O I
10.1147/rd.236.0696
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
For k equals 2, the two-dimensional coordinate spaces l//1**2 and l// infinity **2 are isometric. Consequently, results on computational complexity for one space can be transplanted to the other in a natural way. In this note, an elementary proof is given for the nonisometry between l//p**k and l//q**k for general k, p, and q.
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页码:696 / 699
页数:4
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