Cauchy-schwarz type inequalities for categories

Nobushige Kurokawa; Masato Wakayama

doi:10.2206/kyushujm.57.325

Cauchy-schwarz type inequalities for categories

Nobushige Kurokawa, Masato Wakayama

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Abstract

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.

Original language	English
Pages (from-to)	325-331
Number of pages	7
Journal	Kyushu Journal of Mathematics
Volume	57
Issue number	2
DOIs	https://doi.org/10.2206/kyushujm.57.325
Publication status	Published - Jan 1 2003

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.2206/kyushujm.57.325

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Cauchy-schwarz type inequalities for categories

Abstract

All Science Journal Classification (ASJC) codes

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