79 citations · 100 across the 15 of their papers we have counts for
4 papers · 2 filters
A Pythagorean theorem for partitioned matrices
Jean-Christophe Bourin, Eun-Young Lee
We establish a Pythagorean theorem for the absolute values of the blocks of a partitioned matrix. This leads to a series of remarkable operator inequalities.
Positive linear maps on normal matrices
Jean-Christophe Bourin, Eun-Young Lee
For a positive linear map F and a normal matrix N, we show that |F(N)| is bounded by some simple linear combinations in the unitary orbit of F(|N|). Several elegant sharp inequalit…
Clarkson-McCarthy inequalities with unitary and isometry orbits
Jean-Christophe Bourin, Eun-Young Lee
A refinement of a trace inequality of McCarthy establishing the uniform convexity of the Schatten -classes for p>2 is proved
Numerical range and positive block matrices
Jean Christophe Bourin, Eun-Young Lee
We obtain several norm and eigenvalue inequalities for positive matrices partitioned into four blocks. The results involve the numerical range of the off-diagonal block X, especial…