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On the generalized Hadamard product and the Jordan-Hadamard product
Published online by Cambridge University Press: 17 April 2009
Abstract
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The generalized Hadamard product S * T and the Jordan-Hadamard product S ∘ T of two operator-matrices S and T are introduced. They coincide with the usual Hadamard product of two complex matrices when the underlying Hilbert spaces are one-dimensional. Some inequalities which hold true for the usual Hadamard product of positive definite complex matrices are shown to be true for these two new products of positive invertible operator-matrices.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 22 , Issue 3 , December 1980 , pp. 321 - 337
- Copyright
- Copyright © Australian Mathematical Society 1980
References
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