Equivalence relations and distances between Hilbert frames

Equivalence relations and distances between Hilbert frames
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DOI:
10.1090/s0002-9939-99-04826-1
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发表时间:
1999-04
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通讯作者:
R. Balan
R. Balan
中科院分区:
其他
文献类型:
--
作者:
R. Balan

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我们研究希尔伯特框架和 12(I) 的闭子空间之间的一些等价关系。我们还定义了帧之间的距离,并建立了该度量的几何意义。最后,我们找到最接近的以及最接近给定框架的紧框架。
We study some equivalency relations between Hilbert frames and closed subspaces of 12(I). We define also a distance between frames and we establish the geometric meaning of this metric. Finally we find the closest and respectively the nearest tight frame to a given frame.