Inequalities for accretive-dissipative block matrices involving convex and concave functions

چکیده مقاله

We present some unitarily invariant norm and Schatten p-norm
inequalities relevant to accretive-dissipative matrices involving convex
and concave functions. In particular, we show that if T =
is an accretive-dissipative block matrix with Tij ∈ Mn(C), i, j = 1, 2,
and f is an increasing convex function on [0,∞) with f (0) = 0, then
2for every unitarily invariant norm · u. We also extract several
inequalities for accretive-dissipative n × n operator matrices. The
obtained inequalities extend some known results.