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2013 INEQUALITIES FOR GRAM MATRICES AND THEIR APPLICATIONS TO REPRODUCING KERNEL HILBERT SPACES
Akira Yamada
Taiwanese J. Math. 17(2): 427-430 (2013). DOI: 10.11650/tjm.17.2013.2282

Abstract

We prove elementary inequalities for the Gram matrices and their equality conditions. As an application we show that inequalities for the Gram determinants hold for general reproducing kernel Hilbert spaces.

Citation

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Akira Yamada. "INEQUALITIES FOR GRAM MATRICES AND THEIR APPLICATIONS TO REPRODUCING KERNEL HILBERT SPACES." Taiwanese J. Math. 17 (2) 427 - 430, 2013. https://doi.org/10.11650/tjm.17.2013.2282

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1290.46018
MathSciNet: MR3044516
Digital Object Identifier: 10.11650/tjm.17.2013.2282

Subjects:
Primary: 46E22
Secondary: 15A45

Keywords: Gram determinant inequalities , Gram matrices , positive semidefinite matrices , reproducing kernel Hilbert spaces , Weyl's monotonicity principle

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

Vol.17 • No. 2 • 2013
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