Thenumber of points where a linear mapping from 
into 
attains its norm
Abstract
Let S be a regular 
-matrix mapping 
onto 
, 
, with norm(Error rendering LaTeX formula). Then we are interested in the set (Error rendering LaTeX formula) i.e. the set of points on the unit sphere where S attains its norm. We prove 
for 
.This follows from properties of the Taylor expansion of 
near points in C. The case 
remains open. But we show by an example that for 
the behaviour of may be completely different as for 
.
-matrix mapping onto , , with norm(Error rendering LaTeX formula). Then we are interested in the set (Error rendering LaTeX formula) i.e. the set of points on the unit sphere where S attains its norm. We prove for .This follows from properties of the Taylor expansion of near points in C. The case remains open. But we show by an example that for the behaviour of may be completely different as for .DOI Code:
10.1285/i15900932v12p145
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