Completely positive matrix numerical index on matrix regular operator spaces
Author:
XuJian Huang
Journal:
Proc. Amer. Math. Soc. 140 (2012), 31613167
MSC (2010):
Primary 46L07, 46L52, 47L07
Published electronically:
January 9, 2012
MathSciNet review:
2917089
Fulltext PDF
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Abstract: In the article, we compute the completely positive matrix numerical index of matrix regular operator spaces and show that they take values in the interval . Moreover, we show that the dual of a unital operator system has the completely positive matrix numerical index if its dimension is greater than . Furthermore, both and have the completely positive matrix numerical index if their dimensions are greater than , where , is a Hilbert space and is a finite von Neumann algebra.
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Additional Information
XuJian Huang
Affiliation:
Department of Mathematics, Tianjin University of Technology, Tianjin 300384, People’s Republic of China
Email:
huangxujian86@gmail.com
DOI:
http://dx.doi.org/10.1090/S000299392012111554
Keywords:
Completely positive matrix numerical index,
matrix regular operator space.
Received by editor(s):
September 10, 2010
Received by editor(s) in revised form:
January 10, 2011, and March 23, 2011
Published electronically:
January 9, 2012
Communicated by:
Marius Junge
Article copyright:
© Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
