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math.FA2007
A matrix subadditivity inequality for f(A+B) and f(A)+f(B)
Jean-Christophe Bourin, Mitsuru Uchiyama
Let f be a non-negative concave function on the positive half-line. Let A and B be two positive matrices. Then, for all symmetric norms, || f(A+B) || is less than || f(A)+f(B) ||.…
math.FA2002
k-hyponormality of powers of weighted shifts via Schur products
Raul E. Curto, Sang Soo Park
We characterize -hyponormality and quadratic hyponormality of powers of weighted shifts using Schur product techniques.