# Block-matrix generalizations of Schur's basic theorems on Hadamard products

@article{Horn1992BlockmatrixGO, title={Block-matrix generalizations of Schur's basic theorems on Hadamard products}, author={Roger A. Horn and Roy Mathias}, journal={Linear Algebra and its Applications}, year={1992}, volume={172}, pages={337-346} }

## 41 Citations

Block-matrix generalizations of infinite-dimensional schur products and schur multipliers

- Mathematics
- 1994

We consider an extention of the familiar Schur product to a bilinear product on the space of matrices whose entries are either bounded operators on a fixed Hilbert space or bounded "square" operator…

Eigenvalues Estimation of Block Kronecker Product of Positive Semidefinite Hermitian Matrices

- Mathematics
- 2012

In 1911, L. Schur showed the overall estimation for all eigenvalues of Hadamard products of positive semidefinite Hermitianmatrices. In 1992,R. A. Horn and R.Mathias obtained an approach to a block…

Notes and counterexamples on positive (semi) definite properties of some matrix products

- MathematicsAin Shams Engineering Journal
- 2018

Some Extensions of Loewner's Theory of Monotone Operator Functions

- Mathematics
- 2002

Several extensions of Loewner's theory of monotone operator functions are given. These include a theorem on boundary interpolation for matrix-valued functions in the generalized Nevanlinna class, The…

Decompositions of block schur products

- Mathematics
- 2019

Given two m×n matrices A = (aij ) and B = (bij ) with entries in B(H) for some Hilbert space H, the Schur block product is the m× n matrix A B := (aijbij). There exists an m × n matrix S = (sij) with…

On Hadamard and Kronecker Products Over Matrix of Matrices

- Mathematics
- 2018

In this paper, we define and study Hadmard and Kronecker products over matrix of matrices and their basic properties. Furthermore, we establish a connection the Hadamard product of matrix of matrices…

INEQUALITIES INVOLVING KHATRI-RAO PRODUCTS OF POSITIVE SEMIDEFINITE HERMITIAN MATRICES

- Mathematics
- 2007

In this paper, we obtain some matrix inequalities in Löwner partial ordering for Khatri-Rao products of positive semidefinite Hermitian matrices. Furthermore, we generalize the Oppenheim’s…

The Hadamard product in a crossed product C*-algebra

- Mathematics
- 2019

We show that for a C*-algebra A and a discrete group G with an action of G on A, the reduced crossed product C*-algebra possesses a natural generalization of the convolution product, which we suggest…

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