论文标题
弗里德里奇(Friedrichs
Self-adjoint extensions with Friedrichs lower bound
论文作者
论文摘要
我们产生一个简单的标准和一个建设性的配方,以识别希尔伯特空间上半结合的对称操作员的自动参与扩展,该延伸与弗里德里奇的扩展具有相同的下限。然后讨论此抽象结果对一些有启发性示例的应用。
We produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lower bound as the Friedrichs extension. Applications of this abstract result to a few instructive examples are then discussed.