Radial multipliers on reduced free products of operator algebras

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Standard

Radial multipliers on reduced free products of operator algebras. / Haagerup, Uffe; Møller, Søren.

I: Journal of Functional Analysis, Bind 263, Nr. 8, 2012, s. 2507-2528.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Haagerup, U & Møller, S 2012, 'Radial multipliers on reduced free products of operator algebras', Journal of Functional Analysis, bind 263, nr. 8, s. 2507-2528.

APA

Haagerup, U., & Møller, S. (2012). Radial multipliers on reduced free products of operator algebras. Journal of Functional Analysis, 263(8), 2507-2528.

Vancouver

Haagerup U, Møller S. Radial multipliers on reduced free products of operator algebras. Journal of Functional Analysis. 2012;263(8):2507-2528.

Author

Haagerup, Uffe ; Møller, Søren. / Radial multipliers on reduced free products of operator algebras. I: Journal of Functional Analysis. 2012 ; Bind 263, Nr. 8. s. 2507-2528.

Bibtex

@article{a9a08e4e492146898ced3fdc79a7961f,
title = "Radial multipliers on reduced free products of operator algebras",
abstract = "Let AiAi be a family of unital C¿C¿-algebras, respectively, of von Neumann algebras and ¿:N0¿C¿:N0¿C. We show that if a Hankel matrix related to ¿ is trace-class, then there exists a unique completely bounded map M¿M¿ on the reduced free product of the AiAi, which acts as a radial multiplier. Hereby we generalize a result of Wysoczanski for Herz–Schur multipliers on reduced group C¿C¿-algebras for free products of groups.",
author = "Uffe Haagerup and S{\o}ren M{\o}ller",
year = "2012",
language = "English",
volume = "263",
pages = "2507--2528",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "8",

}

RIS

TY - JOUR

T1 - Radial multipliers on reduced free products of operator algebras

AU - Haagerup, Uffe

AU - Møller, Søren

PY - 2012

Y1 - 2012

N2 - Let AiAi be a family of unital C¿C¿-algebras, respectively, of von Neumann algebras and ¿:N0¿C¿:N0¿C. We show that if a Hankel matrix related to ¿ is trace-class, then there exists a unique completely bounded map M¿M¿ on the reduced free product of the AiAi, which acts as a radial multiplier. Hereby we generalize a result of Wysoczanski for Herz–Schur multipliers on reduced group C¿C¿-algebras for free products of groups.

AB - Let AiAi be a family of unital C¿C¿-algebras, respectively, of von Neumann algebras and ¿:N0¿C¿:N0¿C. We show that if a Hankel matrix related to ¿ is trace-class, then there exists a unique completely bounded map M¿M¿ on the reduced free product of the AiAi, which acts as a radial multiplier. Hereby we generalize a result of Wysoczanski for Herz–Schur multipliers on reduced group C¿C¿-algebras for free products of groups.

M3 - Journal article

VL - 263

SP - 2507

EP - 2528

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 8

ER -

ID: 45181355