论文标题
复杂自我的接触
Complex-self-adjointness
论文作者
论文摘要
我们在希尔伯特(Hilbert)空间中开发了操作员的概念,这些概念与他们的居住者相似,而后者不一定是涉及的。我们讨论扩展理论,精致的极性和奇异值分解以及抗线性本征函数的扩展。这项研究是由与非自我支持操作员的量子力学中的物理对称性动机。
We develop the concept of operators in Hilbert spaces which are similar to their adjoints via antiunitary operators, the latter being not necessarily involutive. We discuss extension theory, refined polar and singular-value decompositions, and antilinear eigenfunction expansions. The study is motivated by physical symmetries in quantum mechanics with non-self-adjoint operators.