Non-commutative Clarkson inequalities for unitarily invariant norms
Non-commutative Clarkson inequalities for unitarily invariant norms
It is shown that if A and B are operators on a separable complex Hilbert space and if ||| • ||| is any unitarily invariant norm, thenfor 0 < p ≤ 2. These inequalities are natural generalizations of some of the classical Clarkson inequalities for the Schatten p-norms.Generalizations of these …