Representations of completely bounded multilinear operators
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Journal of Functional Analysis |
Volume | 72 |
Issue number | 1 |
Pages (from-to) | 151-181 |
Number of pages | 31 |
ISSN | 0022-1236 |
DOIs | |
Publication status | Published - May 1987 |
ID: 384124094