Cauchy-schwarz type inequalities for categories

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)325-331
Number of pages7
JournalKyushu Journal of Mathematics
Volume57
Issue number2
DOIs
Publication statusPublished - Jan 1 2003

Fingerprint

Cauchy
Laplacian Matrix
Scalar, inner or dot product
Positivity
Object

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Cauchy-schwarz type inequalities for categories. / Kurokawa, Nobushige; Wakayama, Masato.

In: Kyushu Journal of Mathematics, Vol. 57, No. 2, 01.01.2003, p. 325-331.

Research output: Contribution to journalArticle

Kurokawa, Nobushige ; Wakayama, Masato. / Cauchy-schwarz type inequalities for categories. In: Kyushu Journal of Mathematics. 2003 ; Vol. 57, No. 2. pp. 325-331.
@article{c0bfb79256bd4e6880f796e635883cc7,
title = "Cauchy-schwarz type inequalities for categories",
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.",
author = "Nobushige Kurokawa and Masato Wakayama",
year = "2003",
month = "1",
day = "1",
doi = "10.2206/kyushujm.57.325",
language = "English",
volume = "57",
pages = "325--331",
journal = "Kyushu Journal of Mathematics",
issn = "1340-6116",
publisher = "Kyushu University, Faculty of Science",
number = "2",

}

TY - JOUR

T1 - Cauchy-schwarz type inequalities for categories

AU - Kurokawa, Nobushige

AU - Wakayama, Masato

PY - 2003/1/1

Y1 - 2003/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85009635325&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009635325&partnerID=8YFLogxK

U2 - 10.2206/kyushujm.57.325

DO - 10.2206/kyushujm.57.325

M3 - Article

AN - SCOPUS:85009635325

VL - 57

SP - 325

EP - 331

JO - Kyushu Journal of Mathematics

JF - Kyushu Journal of Mathematics

SN - 1340-6116

IS - 2

ER -