Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
CAUCHY-SCHWARZ TYPE INEQUALITIES FOR CATEGORIES
Nobushige KUROKAWAMasato WAKAYAMA
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2003 年 57 巻 2 号 p. 325-331

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We study a Cauchy-Schwarz type inequality for categories with respect to a certain ‘inner product’ for objects. This turns out to be equivalent to showing a positivity of certain matrices called ‘Laplacians’ constructed from categories.
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© 2003 by Faculty of Mathematics, Kyushu University
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