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Generalized induced norms

S. HejazianM. MirzavaziriMohammad Sal Moslehian — 2007

Czechoslovak Mathematical Journal

Let · be a norm on the algebra n of all n × n matrices over . An interesting problem in matrix theory is that “Are there two norms · 1 and · 2 on n such that A = max { A x 2 x 1 = 1 } for all A n ?” We will investigate this problem and its various aspects and will discuss some conditions under which · 1 = · 2 .

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