Schatten norms of Toeplitz matrices with Fisher--Hartwig singularities.
Schur multiplier characterization of a class of infinite matrices
Let denote the space of infinite matrices for which for all with . We characterize the upper triangular positive matrices from , , by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are stated and discussed.
Several matrix Euclidean norm inequalities involving Kantorovich inequality.
Shells of matrices in indefinite inner product spaces.
Some Berezin number inequalities for operator matrices
Some inequalities for commutators and an application to spectral variation.
Some inequalities involving upper bounds for some matrix operators. I
In this paper we consider the problem of finding upper bounds of certain matrix operators such as Hausdorff, Nörlund matrix, weighted mean and summability on sequence spaces and Lorentz sequence spaces , which was recently considered in [9] and [10] and similarly to [14] by Josip Pecaric, Ivan Peric and Rajko Roki. Also, this study is an extension of some works by G. Bennett on spaces, see [1] and [2].
Some relations on Humbert matrix polynomials
The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix representations, matrix differential equation and expansions in series of some relatively more familiar matrix polynomials of Legendre, Gegenbauer, Hermite, Laguerre and modified Laguerre. Finally, some definitions of generalized Humbert matrix polynomials...
Some relations satisfied by Hermite-Hermite matrix polynomials
The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula. Furthermore, we define a new polynomial associated with the Hermite-Hermite matrix polynomials and establish the matrix differential equation associated with these polynomials. We give the addition theorems, multiplication theorems and summation formula for the Hermite-Hermite...
Some remarks on Toeplitz multipliers and Hankel matrices
Consider the set of all Toeplitz-Schur multipliers sending every upper triangular matrix from the trace class into a matrix with absolutely summable entries. We show that this set admits a description completely analogous to that of the set of all Fourier multipliers from H₁ into ℓ₁. We characterize the set of all Schur multipliers sending matrices representing bounded operators on ℓ₂ into matrices with absolutely summable entries. Next, we present a result (due to G. Pisier) that the upper triangular...
Some theoretical results derived from polynomial numerical hulls of Jordan blocks.
Some variations on the concept of the c-numerical range
Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
Spectral approximation for Segal-Bargmann space Toeplitz operators
Let A stand for a Toeplitz operator with a continuous symbol on the Bergman space of the polydisk or on the Segal-Bargmann space over . Even in the case N = 1, the spectrum Λ(A) of A is available only in a few very special situations. One approach to gaining information about this spectrum is based on replacing A by a large “finite section”, that is, by the compression of A to the linear span of the monomials . Unfortunately, in general the spectrum of does not mimic the spectrum of A as...
Spectral approximation of multiplication operators.
Spectral radius and seminorms in finite-dimensional algebras. II
Spectral radius and seminorms in finite-dimensional algebras
Spectral variation bounds for diagonalisable matrices.
Spektralradius und Spektralnorm
Stable subnorms on finite-dimensional power-associative algebras.