Noncommutative Fourier transforms of bounded bilinear forms and completely bounded multilinear operators

DOI10.1016/0022-1236(88)90034-1zbMath0663.46053OpenAlexW2081043731MaRDI QIDQ1114126

Kari Ylinen

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90034-1

zbMATH Keywords

unitary representationstensor productlocally compact groupsgroup \(C^*\)-algebranoncommutative probability theoryBanach algebra of completely bounded n-linear operatorscontractive unital morphismsdilation techniquesenveloping \(W^*\)- algebrasGrothendieck-Pisier-Haagerup inequalityJordan morphismsn-linear maprepresentation of the Fourier transformuniversal representations

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items

The maximal C*-norm and the Haagerup norm ⋮ Fourier transforms of bounded bilinear forms on \(C^*(S_{1})\times C^*(S_{2})\) of foundation \(*\)-semigroups \(S_{1}\) and \(S_{2}\) ⋮ Unnamed Item ⋮ Quantum instruments and related transformation valued functions

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