论文标题
部分可观测时空混沌系统的无模型预测
Matrix representations of arbitrary bounded operators on Hilbert spaces
论文作者
论文摘要
我们表明，在天然和相当普遍的假设下，可以预先签名希尔伯特空间上有界线性操作员的矩阵的很大一部分。结果是在更一般的操作员元组中获得的，从而导致有趣的后果，例如当元组由单个操作员的功能组成时。我们还证明了这种独立兴趣结果的几种变体。该论文大大扩展了对无限维空间中基质表示的以前的研究，主要涉及开处方主角。
We show that under natural and quite general assumptions, a large part of a matrix for a bounded linear operator on a Hilbert space can be preassigned. The result is obtained in a more general setting of operator tuples leading to interesting consequences, e.g. when the tuple consists of powers of a single operator. We also prove several variants of this result of independent interest. The paper substantially extends former research on matrix representations in infinite-dimensional spaces dealing mainly with prescribing the main diagonals.
