【摘要】 引入了Hilbert空间中广义框架对的概念和一些相关性质,应用算子论的方法,讨论了Hilbert空间中广义框架对在算子扰动下的稳定性,同时把已有文献中的框架稳定性推广到广义框架上。更多还原

【Abstract】 The concept and some related properties of a pair of generalized frame in Hilbert space are introduced. By using the operator theoretic methods,the stability of a pair of generalized frame in Hilbert space under the operator disturbance is discussed. At the same time,the result of the stability of the frame in the existing literatures is extended to the generalized frame in Hilbert space.更多还原