Faculté des Sciences Juridiques, Economiques et Sociales, B.P. 8658 Cité Dakhla, Agadir, Morocco
Abstract:
We use certain norm inequalities for 2×2 operator matrices to establish norm inequalities for sums of two basic elementary operators on a Hilbert space. Further, we give necessary and sufficient conditions under which the norm of the above sum of elementary operators attains its optimal value. Applications of the inequalities obtained are also considered.