2020/06/16 by Feki, Kais, Sahoo, Satyajit
#46C05 #47A05 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47A12 #Secondary 47B65
paper · doi:10.48550/arxiv.2006.09312
Let \mathbbA= \beginpmatrix A & 0 0 & A \endpmatrix be a 2×2 diagonal operator matrix whose each diagonal entry is a bounded positive (semidefinite) linear operator A acting on a complex Hilbert space H. In this paper, we derive several \mathbbA-numerical radius inequalities for 2× 2 operator matrices whose entries are bounded with respect to the seminorm induced by the positive operator A on H. Some applications of our inequalities are also given.