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

الموضوعات : مجله بین المللی ریاضیات صنعتی

T. Lal Shateri ¹ ( Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran. )

تاريخ الإرسال : 11 الإثنين , شوال, 1439 تاريخ التأكيد : 28 الأربعاء , جمادى الثانية, 1442 تاريخ الإصدار : 19 الخميس , شعبان, 1442

الکلمات المفتاحية: C*-algebraک Locally C*-algebra, Hilbert C*-module, frame, *-fusion frame,

ملخص المقالة :

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.

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