关于奈马克扩张定理的评论

Canadian Mathematical Bulletin Pub Date : 2023-11-28 DOI:10.4153/s0008439523000899

Sergiusz Kużel

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摘要

尽管奈马克扩张定理最初是在 1940 年提出的，但它在各个领域仍有许多重要应用。本文旨在介绍一种明确构建奈马克扩张定理中互补框架向量的方法，特别是在初始帕塞瓦尔框架包含一个里兹基作为子集的情况下。这些发现是构建对偶框架的基础。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Remarks on Naimark dilation theorem

Although Naimark dilation theorem was originally stated in 1940, it still finds many important applications in various areas. The objective of this paper is to introduce a method for explicitly constructing the vectors of complementary frames in the Naimark dilation theorem, specifically in cases where the initial Parseval frame contains a Riesz basis as a subset. These findings serve as a foundation for the construction of dual frames.

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Canadian Mathematical Bulletin

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