Pseudoframes for Subspaces with Applications
Pseudoframes for Subspaces with Applications
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DOI：
10.1117/12.328126
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发表时间：
1998-10
影响因子：
1.2
通讯作者：
Shidong Li;H. Ogawa
中科院分区：
文献类型：
--
作者：
Shidong Li;H. Ogawa
在可分Hilbert空间H中定义并刻划了子空间伪框架的概念。对于H中的子空间X，PFFS以框架的方式起作用。然而，序列对{xn}和{x*n}中没有一个必然包含在X中。这就产生了以灵活性为中心的有吸引力的特性。一个必要的和充分的表征PFFS提供。推导了两个方向上PFFS结构的解析公式。考虑的例子。由于与Casazza的私人通信，还观察到X的PFFS和X的框架的一些洞察力关系。并对PFFS的进一步应用进行了讨论。
AbstractA notion of pseudoframes for subspaces (PFFS) is defined and characterized in a separable Hilbert space H. PFFS functions in a manner of a frame for a subspace X in H. Yet none of the pair of sequences {xn} and {x*n} is necessarily contained in X. This gives rise to attractive properties that center around the flexibility. A necessary and sufficient characterization of PFFSs is provided. Analytical formulae for the constructions of PFFSs in two directions are derived. Examples are considered. Some insight relationships of an PFFS for X and a frame of X are also observed thanks to a private communication with Casazza. Further applications of PFFSs are also discussed.