*-frames in Hilbert modules over pro-C*-algebras
نویسندگان
چکیده مقاله:
In this paper, by using the sequence of multipliers, we introduce frames with algebraic bounds in Hilbert pro-$ C^* $-modules. We investigate the relations between frames and $ ast $-frames. Some properties of $ ast $-frames in Hilbert pro-$ C^* $-modules are studied. Also, we show that there exist two differences between $ ast $-frames in Hilbert pro-$ C^* $-modules and Hilbert $ C^* $-modules. Finally, dual $ ast $-frames in Hilbert pro-$ C^* $-modules are presented.
منابع مشابه
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عنوان ژورنال
دوره 08 شماره 01
صفحات 1- 10
تاریخ انتشار 2019-02-01
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