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Abstract:
该文在Hilbert空间中讨论K-框架和紧K-框架在算子扰动中的稳定性.首先给出K-框架经过有界线性算子T扰动后为K-框架的充要条件,其次讨论了用两个Bessel序列或者两个K-框架构造新的K-框架的方法,最后给出用两个Bessel序列构造紧K-框架的充要条件.这些结果推广和改进了由Christensen和Casazza等得到的著名结果.
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数学物理学报:A辑
ISSN: 1003-3998
CN: 42-1226/O
Year: 2021
Issue: 1
Volume: 41
Page: 29-38
Cited Count:
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count: -1
30 Days PV: 4
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