Norm bounds for summation of two normal matrices

On matrices for which norm bounds are attained

Let kAkp q be the norm induced on the matrix A with n rows and m columns by the H older p and q norms on R and R or C and C respectively It is easy to nd an upper bound for the ratio kAkr s kAkp q In this paper we study the classes of matrices for which the upper bound is attained We shall show that for xed A attainment of the bound depends only on the signs of r p and s q Various criteria depe...

Schur multiplier norm of product of matrices

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Norm estimates for functions of two commuting matrices

Matrix valued analytic functions of two commuting matrices are considered. A precise norm estimate is established. As a particular case, the matrix valued functions of two matrices on tensor products of Euclidean spaces are explored.

Ela Norm Estimates for Functions of Two Non-commuting Matrices

A class of matrix valued analytic functions of two non-commuting matrices is considered. A sharp norm estimate is established. Applications to matrix and differential equations are also discussed.

Norm estimates for functions of two non-commuting matrices