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arXiv 0904.0203math-phmath.MP
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不同Hilbert空间之间的交织算子:与框架的联系

Intertwining operators between different Hilbert spaces: connection with frames

F. Bagarello

摘要:

本文推广了作者最近提出的一个关于缠绕算子的策略。特别是,我们讨论了扩展我们以前的结果,以这种方式来构建(几乎)等谱自伴算子生活在不同的希尔伯特空间的可能性。文中还对许多实例进行了详细讨论。它们中的许多来自希尔伯特空间中的框架理论,另一些来自所谓的g-框架。

英文摘要:

In this paper we generalize a strategy recently proposed by the author concerning intertwining operators. In particular we discuss the possibility of extending our previous results in such a way to construct (almost) isospectral self-adjoint operators living in different Hilbert spaces. Many examples are discussed in details. Many of them arise from the theory of frames in Hilbert spaces, others from the so-called g-frames.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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