the norm isometry group - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-06-19T13:54:54Z http://mathoverflow.net/feeds/question/62895 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/62895/the-norm-isometry-group the norm isometry group tiep 2011-04-25T07:57:54Z 2012-01-01T10:30:19Z <p>Is there a norm of the group isometry of a space metric X? EXample X is metric complete of dimimension arbitrary: Merci.</p> http://mathoverflow.net/questions/62895/the-norm-isometry-group/84677#84677 Answer by ali hadi for the norm isometry group ali hadi 2012-01-01T10:30:19Z 2012-01-01T10:30:19Z <p>In matrix analysis, we say that a matrix A preserves the norm||.||, if ||AX||=||X|| for all X. a collection of such matrices makes a group, that is called isometry group for such norm. for example the isometry group for L2-norm contains of all unitary matrices. </p>