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A Markov dilation for self-adjoint Schur multipliers

Author(s): Éric Ricard
Journal: Proc. Amer. Math. Soc. 136 (2008), 4365-4372.
MSC (2000): Primary 46L53
Posted: June 27, 2008
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Abstract: We give a formula for Markov dilation in the sense of Anantha- raman-Delaroche for real positive Schur multipliers on $ \mathbb{B}(H)$.

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Additional Information:

Éric Ricard
Affiliation: Laboratoire de Mathématiques, Université de Franche-Comté, 25030 Besançon, cedex, France
Email: eric.ricard@univ-fcomte.fr

DOI: 10.1090/S0002-9939-08-09452-5
PII: S 0002-9939(08)09452-5
Keywords: Completely positive maps, Schur multipliers
Received by editor(s): July 23, 2007,
Received by editor(s) in revised form: November 12, 2007
Posted: June 27, 2008
Additional Notes: The author is supported by research program ANR-06-BLAN-0015
Communicated by: Marius Junge
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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