Continuous unital dilations of completely positive semigroups
نویسندگان
چکیده
منابع مشابه
On the Index and Dilations of Completely Positive Semigroups
It is known that every semigroup of normal completely positive maps P = {Pt : t ≥ 0} of B(H), satisfying Pt(1) = 1 for every t ≥ 0, has a minimal dilation to an E0-semigroup acting on B(K) for some Hilbert space K ⊇ H. The minimal dilation of P is unique up to conjugacy. In a previous paper a numerical index was introduced for semigroups of completely positive maps and it was shown that the ind...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2015
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2015.05.006