成对算子的核及其邻接

arXiv - MATH - Functional Analysis Pub Date : 2024-08-26 DOI:arxiv-2408.14120

M. Cristina Câmara, Jonathan R. Partington

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引用次数: 0

摘要

我们回顾了配对算子及其邻接算子--变换配对算子--的基本性质，特别提到了换向关系，并研究了它们的核性质，揭示了它们之间的相似性，以及令人吃惊的明显差异。我们还回顾了表达不同不变性性质的各种符号，并将一些已知的不变性结果扩展到配对算子。

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Kernels of paired operators and their adjoints

We review the basic properties of paired operators and their adjoints, the transposed paired operators, with particular reference to commutation relations, and we study the properties of their kernels, bringing out their similarities and also, somewhat surprisingly, their stark differences. Various notions expressing different invariance properties are also reviewed and we extend to paired operators some known invariance results.

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arXiv - MATH - Functional Analysis

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