the norm isometry group - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-06-19T13:54:54Zhttp://mathoverflow.net/feeds/question/62895http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/62895/the-norm-isometry-groupthe norm isometry group tiep2011-04-25T07:57:54Z2012-01-01T10:30:19Z
<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#84677Answer by ali hadi for the norm isometry group ali hadi2012-01-01T10:30:19Z2012-01-01T10:30:19Z<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>