两个Hilbert空间笛卡尔积中融合框架的构造

Gulf Journal of Mathematics Pub Date : 2021-09-12 DOI:10.56947/gjom.v11i2.539

Prasenjit Ghosh

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引用次数: 2

摘要

我们研究了两个希尔伯特空间的笛卡尔积中的融合框架的概念，因为两个希尔伯特空间的笛卡尔积也是一个希尔伯特空间，并且看到两个融合框架的笛卡尔积也是一个融合框架。给出了两个希尔伯特空间笛卡尔积上的融合框架算子的概念，并给出了结果。讨论了两个希尔伯特空间笛卡尔积中融合框架的一个微扰结果。

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Construction of fusion frame in Cartesian product of two Hilbert spaces

We study the concept of fusion frame in Cartesian product of two Hilbert spaces as Cartesian product of two Hilbert spaces is again a Hilbert space and see that the Cartesian product of two fusion frames is also a fusion frame. The concept of fusion frame operator on Cartesian product of two Hilbert spaces is being given and results of it are being presented.A perturbation result on fusion frame in Cartesian product of two Hilbert spaces is being discussed.

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Gulf Journal of Mathematics

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