Representations of completely bounded multilinear operators

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Standard

Representations of completely bounded multilinear operators. / Christensen, Erik; Sinclair, Allan M.

In: Journal of Functional Analysis, Vol. 72, No. 1, 05.1987, p. 151-181.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Christensen, E & Sinclair, AM 1987, 'Representations of completely bounded multilinear operators', Journal of Functional Analysis, vol. 72, no. 1, pp. 151-181. https://doi.org/10.1016/0022-1236(87)90084-X

APA

Christensen, E., & Sinclair, A. M. (1987). Representations of completely bounded multilinear operators. Journal of Functional Analysis, 72(1), 151-181. https://doi.org/10.1016/0022-1236(87)90084-X

Vancouver

Christensen E, Sinclair AM. Representations of completely bounded multilinear operators. Journal of Functional Analysis. 1987 May;72(1):151-181. https://doi.org/10.1016/0022-1236(87)90084-X

Author

Christensen, Erik ; Sinclair, Allan M. / Representations of completely bounded multilinear operators. In: Journal of Functional Analysis. 1987 ; Vol. 72, No. 1. pp. 151-181.

Bibtex

@article{1c9fbde7e6ef4df4bd5e68ca92d97d33,
title = "Representations of completely bounded multilinear operators",
abstract = "A definition of a completely bounded multilinear operator from one C*-algebra into another is introduced. Each completely bounded multilinear operator from a C*-algebra into the algebra of bounded linear operators on a Hilbert space is shown to be representable in terms of *-representations of the C*-algebra and interlacing operators. This result extends Wittstock's Theorem that decomposes a completely bounded linear operator from a C*-algebra into an injective C*-algebra into completely positive linear operators.",
author = "Erik Christensen and Sinclair, {Allan M.}",
year = "1987",
month = may,
doi = "10.1016/0022-1236(87)90084-X",
language = "English",
volume = "72",
pages = "151--181",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "1",

}

RIS

TY - JOUR

T1 - Representations of completely bounded multilinear operators

AU - Christensen, Erik

AU - Sinclair, Allan M.

PY - 1987/5

Y1 - 1987/5

N2 - A definition of a completely bounded multilinear operator from one C*-algebra into another is introduced. Each completely bounded multilinear operator from a C*-algebra into the algebra of bounded linear operators on a Hilbert space is shown to be representable in terms of *-representations of the C*-algebra and interlacing operators. This result extends Wittstock's Theorem that decomposes a completely bounded linear operator from a C*-algebra into an injective C*-algebra into completely positive linear operators.

AB - A definition of a completely bounded multilinear operator from one C*-algebra into another is introduced. Each completely bounded multilinear operator from a C*-algebra into the algebra of bounded linear operators on a Hilbert space is shown to be representable in terms of *-representations of the C*-algebra and interlacing operators. This result extends Wittstock's Theorem that decomposes a completely bounded linear operator from a C*-algebra into an injective C*-algebra into completely positive linear operators.

UR - http://www.scopus.com/inward/record.url?scp=0000692027&partnerID=8YFLogxK

U2 - 10.1016/0022-1236(87)90084-X

DO - 10.1016/0022-1236(87)90084-X

M3 - Journal article

AN - SCOPUS:0000692027

VL - 72

SP - 151

EP - 181

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 1

ER -

ID: 384124094