论文标题

Hilbert $ c^{\ ast} $ - 模块的受控积分帧

Controlled Integral Frames for Hilbert $C^{\ast}$-Modules

论文作者

Labrigui, Hatim, Kabbaj, Samir

论文摘要

Balaz,Antoine和Grybos引入了Hilbert空间的受控框架的概念,以提高迭代算法的数值效率,以反转框架操作员。近年来,受控框架理论具有巨大的革命。该理论已从希尔伯特的空间扩展到希尔伯特$ c^{\ ast} $ - 模块。在本文中,我们介绍并研究了Hilbert $ c^{\ ast} $ - 模块的整体框架的扩展。另外,我们在Hilbert $ c^{\ ast} $的整体框架之间给出一些特征 - 模块

The notion of controlled frames for Hilbert spaces were introduced by Balazs, Antoine and Grybos to improve the numerical efficiency of iterative algorithms for inverting the frame operator. Controlled Frame Theory has a great revolution in recent years. This Theory have been extended from Hilbert spaces to Hilbert $C^{\ast}$-modules. In this paper we introduce and study the extension of this notion to integral frame for Hilbert $C^{\ast}$-module. Also we give some characterizations between integral frame in Hilbert $C^{\ast}$-module

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