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4 votes
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Estimates of the Frobenius norm of commutator

Let $A,B$ be two unitary matrices in $U(n)$, and $\|\cdot\|_{F}$ denote the Frobenius norm (or Hilbert Schmidt norm on the finite dimensional $M_n(\mathbb{C})$). I am looking for estimates of the ...
BharatRam's user avatar
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3 votes
0 answers
588 views

Norm in a product vector space induced by a norm in $\mathbb{R}^d$

I posted this question originally here (nobody answered there): https://math.stackexchange.com/questions/2066318/is-the-following-function-a-norm Let $\| \|$ be any norm in $\mathbb{R}^d$. Consider ...
William M.'s user avatar
2 votes
0 answers
648 views

Closed-form expressions for dual norms of real normed vector spaces

Didn't get any biters over at MSE, so I figure this place might be more appropriate... Say that $V$ is a finite-dimensional real normed vector space, where for some $v \in V$ the norm is notated by $\...
Mike Battaglia's user avatar