Topics in Operator Theory pp 435-450 | Cite as

# Matrix Inequalities and Twisted Inner Products

Conference paper

## Abstract

We will demonstrate that several known inequalities involving generalized Schur functions, also known as generalized matrix functions, follow from either the Cauchy-Schwartz inequality, or from certain monotonicity relations that exist between inner products on spaces of multilinear functions. Connections between our inner products and permanent inequalities are presented, and a connection to some unresolved problems in partial differential equations is indicated.

## Keywords

Matrix inequalities inner products tensors multilinear functions tensor inequalities## Mathematics Subject Classification (2000)

15A15 15A45 15A63 15A69## Preview

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