n-整算子类
The class of n-entire operators
摘要：
我们引入了一个简单的，正则的，封闭的对称算子的亏指数（1，1）根据几何标准，扩展了整个运营商和整个运营商的经典概念在广义上由于M。G.克莱恩我们表明，这些类的运营商有几个独特的属性，其中一些涉及到他们的典型的自伴扩展的频谱。特别是，我们提供了必要和充分条件的频谱上的两个典型的自伴扩展的运营商，它属于我们的类之一。我们的讨论是基于de Branges空间理论中的一些最近的结果。
英文摘要：
We introduce a classification of simple, regular, closed symmetric operators with deficiency indices (1,1) according to a geometric criterion that extends the classical notions of entire operators and entire operators in the generalized sense due to M. G. Krein. We show that these classes of operators have several distinctive properties, some of them related to the spectra of their canonical selfadjoint extensions. In particular, we provide necessary and sufficient conditions on the spectra of two canonical selfadjoint extensions of an operator for it to belong to one of our classes. Our discussion is based on some recent results in the theory of de Branges spaces.
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