论文标题
操作员值p-approximate schauder框架
Operator-Valued p-Approximate Schauder Frames
论文作者
论文摘要
我们给出了p- approximate schuader框架理论的操作员 - 代数处理，其中包括Kaftal，Larson和Zhang [\ textIt {trans {trans。 Ams。，2009}]，Sun [JMAA，2006]的G框架，克里希纳（Krishna）和约翰逊（Johnson）的弱弱操作员值框架[\ textit {fe fa，2022}]和p-appproximate schauder框架，克里希纳（Krishna）和约翰逊（Johnson）[\ textit {\ textit {j {j。伪分化。操作。 Appl，2021}]作为特定情况。我们表明，即使对于Banach空间，也可以发展出足够丰富的理论。我们通过在Banach空间中定义各种概念和特征来实现这一目标。这些包括二元性，近似二元性，等效性，正交性和稳定性。
We give an operator-algebraic treatment of theory of p-approximate Schuader frames which includes the theory of operator-valued frames by Kaftal, Larson, and Zhang [\textit{Trans. AMS., 2009}], G-frames by Sun [JMAA, 2006], factorable weak operator-valued frames by Krishna and Johnson [\textit{Annals of FA, 2022}] and p-approximate Schauder frames by Krishna and Johnson [\textit{J. Pseudo-Differ. Oper. Appl, 2021}] as particular cases. We show that a sufficiently rich theory can be developed even for Banach spaces. We achieve this by defining various concepts and characterizations in Banach spaces. These include duality, approximate duality, equivalence, orthogonality and stability.
