Obtaining bounds on the two norm of a matrix from the splitting lemma.
On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices
The joint spectral radius of a finite set of real matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous work with K. G. Hare and J. Theys we showed that for a certain one-parameter family of pairs of matrices, this maximum possible rate of growth is attained along Sturmian sequences with a certain characteristic ratio which depends continuously upon the parameter. In this note we answer some open questions from that paper...
On convergence of infinite matrix products.
On Gaps Between Bounded Operators
On generalized Hermite matrix polynomials.
On Matrix Norms and Logarithmic Norms.
On means of positive definite matrices
On minimal norms on .
On orderings induced by the Loewner partial ordering
The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matrices which multiplied by a given positive definite matrix become nonnegative definite is considered. Its relation to orderings which are induced by the Loewner partial ordering of the squares of matrices is presented. Some extensions of the latter orderings and their comparison to star orderings are given.
On some matrix trace inequalities.
On submultiplicative nonnegative functionals on linear maps of linear finitedimensional normed spaces
On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue.
On the approximation numbers of large Toeplitz matrices.
On the bounds for the spectral and norms of the Khatri-Rao product of Cauchy-Hankel matrices.
On the Davis-Kahan-Weinberger Solution of the Norm-Preserving Dilation Problem.
On the estimation of the -numerical range of monic matrix polynomials.
On the Frobenius condition number of positive definite matrices.
On the function .
On the Geometry of Positive Maps in Matrix Algebras.
On the Hölder continuity of matrix functions for normal matrices.