Fourier transforms of bounded bilinear forms on \(C^*(S_{1})\times C^*(S_{2})\) of foundation \(*\)-semigroups \(S_{1}\) and \(S_{2}\)

DOI10.1007/s10114-007-1023-8zbMath1149.43006OpenAlexW2119185364MaRDI QIDQ943483

Mahmood Lashkarizadeh Bami

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-1023-8

zbMATH Keywords

Fourier transformsrepresentationsbilinear formspositive definite functionstopological semigroupsBanach \(*\)-algebras

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Measure algebras on groups, semigroups, etc. (43A10)

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Projections on weak*-closed subspace of dual Banach algebras

Cites Work

• Noncommutative Fourier transforms of bounded bilinear forms and completely bounded multilinear operators
• Positive functionals on Lau Banach \(*\)-algebras with application to negative-definite functions on foundation semigroups
• Some results on the Fourier-Stieltjes algebra of a locally compact group
• Representations of Foundation Semigroups and their Algebras
• The Dual Space of an Operator Algebra
• Characterization of Fourier-Stieltjes transforms of vector and operator valued measures
• Algebras of Measures on a Locally Compact Semigroup Iii
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