《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (4): 73-80.doi: 10.6040/j.issn.1671-9352.0.2022.468
摘要:
讨论Hilbert空间中连续广义框架理论, 引入了连续广义框架的ε-近似、ε-接近的概念, 建立二者之间的联系, 得到一定条件下连续广义框架ε-近似也是连续广义框架, 但有趣的是, 紧连续广义框架ε-近似不可能是紧连续广义框架; 给定一个连续广义框架的对偶框架及ε-接近, 可以找到其ε-接近的一个对偶连续广义框架使得两个对偶框架彼此靠近。
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