COMPLETELY BOUNDED MAPS AND OPERATOR ALGEBRAS (Cambridge Studies in Advanced Mathematics 78)

By Martin Mathieu. 2004

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Tensor products of operator systems (2009, unknown): “Sources for the details include [9] and [18].”
The structure of degradable quantum channels (2008, methodology): “We explain this following the notation in Appendix A of [23], where it was observed that the ancilla representation (1) is a special case of Stinespring’s fundamental representation theorem [1, 30, 37].”
Quotients, exactness, and nuclearity in the operator system category (2010, unknown): “Recall that every operator space X gives rise [16] to a”
Operator system quotients of matrix algebras and their tensor products (2011, background): “The axioms for operator systems are given in [5, 14], and so we will not repeat them here.”
Multiplier algebras of complete Nevanlinna–Pick spaces: Dilations, boundary representations and hyperrigidity (2016, background): “For background material, the reader is referred to the book [41].”
Quantum non-Markovianity: characterization, quantification and detection (2014, background): “These concepts are properly extended to the infinity dimensional case [18].”