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Matrix Algebra
Maximal Operator
normed space
Operating System
Operator Space
Completely Positive
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Operator system structures on ordered spaces
Operator system structures on ordered spaces,10.1112/plms/pdq011,Proceedings of The London Mathematical Society,VERN I. PAULSEN,IVAN G. TODOROV,Mark T
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Operator system structures on ordered spaces
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Citations: 10
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VERN I. PAULSEN
,
IVAN G. TODOROV
,
Mark Tomforde
Given an Archimedean order unit space (V,V^+,e), we construct a minimal operator system OMIN(V) and a
maximal operator
system OMAX(V), which are the analogues of the minimal and
maximal operator
spaces of a normed space. We develop some of the key properties of these operator systems and make some progress on characterizing when an operator system S is completely boundedly isomorphic to either OMIN(S) or to OMAX(S). We then apply these concepts to the study of entanglement breaking maps. We prove that for matrix algebras a linear map is
completely positive
from OMIN(M_n) to OMAX(M_m) if and only if it is entanglement breaking.
Journal:
Proceedings of The London Mathematical Society  PROC LONDON MATH SOC
, vol. 101, no. 1, 2010
DOI:
10.1112/plms/pdq011
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Published in 1998.
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Citations
(10)
Minimal and maximal operator spaces and operator systems in entanglement theory
(
Citations: 5
)
Nathaniel Johnston
,
David W. Kribs
,
Vern I. Paulsen
,
Rajesh Pereira
Journal:
Journal of Functional Analysis  J FUNCT ANAL
, vol. 260, no. 8, pp. 24072423, 2011
Purification and partial biochemical characterization of polyphenol oxidase from mamey ( Pouteria sapota)
Gisela PalmaOrozco
,
Alicia OrtizMoreno
,
Lidia DorantesÁlvarez
,
José G. Sampedro
,
Hugo Nájera
Journal:
Phytochemistry
, vol. 72, no. 1, pp. 8288, 2011
Isolation, structural elucidation and immunomodulatory activity of fructans from aged garlic extract
Puthanapura M. Chandrashekar
,
Keelara V. Harish Prashanth
,
Yeldur P. Venkatesh
Journal:
Phytochemistry
, vol. 72, no. 2, pp. 255264, 2011
Mapping Cones are Operator Systems
Nathaniel Johnston
,
Erling Størmer
Published in 2011.
Quotients, exactness, and nuclearity in the operator system category
(
Citations: 1
)
Ali S. Kavruk
,
Vern I. Paulsen
,
Ivan G. Todorov
,
Mark Tomforde
Published in 2010.