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.
CITATION STYLE
Pate, T. H. (2010). Matrix inequalities and twisted inner products. In Operator Theory: Advances and Applications (Vol. 202, pp. 435–450). Springer International Publishing. https://doi.org/10.1007/978-3-0346-0158-0_24
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