Regular and positive noncommutative rational functions
نویسندگان
چکیده
منابع مشابه
Regular and positive noncommutative rational functions
Call a noncommutative rational function r regular if it has no singularities, i.e., r(X) is defined for all tuples of self-adjoint matrices X. In this talk regular noncommutative rational functions r will be characterized via the properties of their (minimal size) linear systems realizations r = c∗L−1b. Our main result states that r is regular if and only if L = A0 + ∑ j Ajxj is privileged. Rou...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2017
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms.12030