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Positive semi-definiteness in the complex group algebra. (English) Zbl 0762.20001
Summary: Necessary and sufficient conditions for an element in the complex group algebra to be positive semi-definite and properties of positive semi- definite elements are given with applications to generalized matrix functions.

20C05 Group rings of finite groups and their modules (group-theoretic aspects)
43A35 Positive definite functions on groups, semigroups, etc.
Full Text: DOI
[1] DOI: 10.1080/03081088808817874 · Zbl 0655.15029 · doi:10.1080/03081088808817874
[2] Merris R., in Current Trends in Matrix Theory pp 213– (1987)
[3] DOI: 10.1016/0021-8693(75)90057-5 · Zbl 0309.15006 · doi:10.1016/0021-8693(75)90057-5
[4] Naimark M A., Grundlehren der mathematischen Wissenschatten No. 246 (1982)
[5] DOI: 10.1080/03081087908817292 · Zbl 0432.15017 · doi:10.1080/03081087908817292
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