Re: Multiplicative Seminorms

In article
<31520601.1125497747969.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>, Maury
Barbato <mauriziobarbato@xxxxxxxx> wrote:

> Hello,
> I'm thining about the following problem:
> let R(n,n) be the algebra of nxn real matrices.
> Does there exist a "non-trivial" seminorm in R(n,n), such that for every A, B
> in R(n,n) we have:
> ||AB||=||A||*||B||? (the "trivial" seminorm is defined by ||A||=0 for every A
> ||in R(n,n)).
> Thank you very much for your help.
> Maury

absolute value of determinant?

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
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