Vol. 143, No. 1, 1990

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The structure of pure completely bounded and completely positive multilinear operators

Zhong-Jin Ruan

Vol. 143 (1990), No. 1, 155–173
Abstract

Let A be a C-algebra and B(H) the algebra of all bounded linear operators on a Hilbert space H. We study the structure of pure completely bounded and completely positive multilinear operators from Ak = A × × A into B(H).

Mathematical Subject Classification 2000
Primary: 46L05
Secondary: 46L10, 46M05, 47A99
Milestones
Received: 28 June 1988
Revised: 1 May 1989
Published: 1 May 1990
Authors
Zhong-Jin Ruan