Acta mathematica scientia, Series B >
CANNOT ISOMETRICALLY CONTAIN SOME THREE-DIMENSIONAL SUBSPACES#br# OF AM-SPACES
Received date: 2005-02-20
Revised date: 1900-01-01
Online published: 2007-04-20
This article presents a novel method to prove that: let E be an AM-space and if dim E≥ 3, then there does not exist any odd subtractive isometric mapping from the unit sphere S(E) into $S[L(\Omega,\mu)]$. In particular, there does not exist any real linear isometry from E into $L(\Omega,\mu)$.
Key words： Isometric mapping; odd and subtractive mapping; AM-space
Ding Guanggui . CANNOT ISOMETRICALLY CONTAIN SOME THREE-DIMENSIONAL SUBSPACES#br# OF AM-SPACES[J]. Acta mathematica scientia, Series B, 2007 , 27(2) : 225 -231 . DOI: 10.1016/S0252-9602(07)60021-6
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