Equivalent definition of positive-definiteness

DOI10.2140/PJM.1984.110.315zbMath0489.46043OpenAlexW1990486224MaRDI QIDQ1166756

P. H. Maserick, Franciszek Hugon Szafraniec

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.110.315

zbMATH Keywords

GNS-constructionreproducing kernelsmoment problemscommutative semigroupalgebra with involutionpositive definitecompletely monotonicmultiplicative linear functionalsemicharacter

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) General theory of topological algebras with involution (46K05) Positive definite functions on groups, semigroups, etc. (43A35) (L^1)-algebras on groups, semigroups, etc. (43A20) Structure and classification of commutative topological algebras (46J40)

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