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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.

MSC:
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
43A35 Positive definite functions on groups, semigroups, etc.
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[1] DOI: 10.1080/03081088808817874 · Zbl 0655.15029 · doi:10.1080/03081088808817874
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[3] DOI: 10.1016/0021-8693(75)90057-5 · Zbl 0309.15006 · doi:10.1016/0021-8693(75)90057-5
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[5] DOI: 10.1080/03081087908817292 · Zbl 0432.15017 · doi:10.1080/03081087908817292
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