Positive matrix $H\sp{1/2}$ and Hermitian matrix $H\sp{1}$ functions are constant
نویسندگان
چکیده
منابع مشابه
Pure States, Positive Matrix Polynomials and Sums of Hermitian Squares
Let M be an archimedean quadratic module of real t× t matrix polynomials in n variables, and let S ⊆ R be the set of all points where each element of M is positive semidefinite. Our key finding is a natural bijection between the set of pure states of M and S × P(R). This leads us to conceptual proofs of positivity certificates for matrix polynomials, including the recent seminal result of Hol a...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1970
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1970-0267106-2