论文标题
Hermitian Squares Modulo Hermitian理想的总和
Hermitian Sums of Squares Modulo Hermitian Ideals
论文作者
论文摘要
在这项工作中，我们研究了将冬宫多项式编写为遗传学的遗传学模式的遗传学理想的问题。我们研究了一个新颖的putinar-scheiderer的想法，以获得遗传多项式的必要矩阵阳性条件，以使其成为平方英尺的遗传总和。我们表明，对于与操作员价值的Riesz-Fejer定理连接的一类示例的条件足以满足。这项工作符合希尔伯特（Hilbert）第17个问题和阳性特征的较大主题。
In this work we study the problem of writing a Hermitian polynomial as a Hermitian sum of squares modulo a Hermitian ideal. We investigate a novel idea of Putinar-Scheiderer to obtain necessary matrix positivity conditions for Hermitian polynomials to be Hermitian sums of squares modulo Hermitian ideals. We show that the conditions are sufficient for a class of examples making a connection to the operator-valued Riesz-Fejer theorem and block Toeplitz forms. The work fits into the larger themes of Hermitian versions of Hilbert's 17-th problem and characterizations of positivity.
