$*$-Fusion ‎F‎rames in Hilbert Modules Over Locally $C^*$-Algebras

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

T. Lal Shateri ¹

1 - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.

تاریخ دریافت : 1397/04/04 تاریخ پذیرش : 1399/11/22 تاریخ انتشار : 1400/01/12

کلید واژه: C*-algebraک Locally C*-algebra, Hilbert C*-module, frame, *-fusion frame,

چکیده مقاله :

The main purpose of this paper is to introduce the notion of *-fusion frames in Hilbert modules over locally C*-algebras to study some properties about these frames. We present some results of frames in the view of *-fusion frames in Hilbert modules over locally C*- algebras. inparticular we give the reconstruction formula for these frames.

چکیده انگلیسی:

هدف اصلی این مقاله، معرفی *-قاب های ترکیب در مدول های هیلبرت روی  -جبرهای موضعی و مطالعه خواص این قاب ها است. نتایجی از قاب ها روی فضاهای هیلبرت را برای *-قاب های ترکیب ثابت می کنیم. به ویژه فرمول بازسازی را برای این قاب ها ارائه می دهیم.

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