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.
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Communicated by L. Rodman.
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© 2010 Birkhäuser Verlag Basel/Switzerland
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Pate, T.H. (2010). Matrix Inequalities and Twisted Inner Products. In: Topics in Operator Theory. Operator Theory: Advances and Applications, vol 202. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0158-0_24
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DOI: https://doi.org/10.1007/978-3-0346-0158-0_24
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