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On Continuous Frames in Hilbert C^*-Modules

عنوان مقاله: On Continuous Frames in Hilbert C^*-Modules
شناسه ملی مقاله: JR_SCMA-21-2_020
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:

Hadi Ghasemi - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box ۳۹۷, Iran.
Tayebe Lal shateri - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box ۳۹۷, Iran.

خلاصه مقاله:
In the present paper, we study continuous frames in Hilbert C^*-modules and present some results of these frames. Next, we give the concept of dual continuous frames in Hilbert C^*-modules and investigate some properties of them. Also, by introducing the notion of the similarity of the continuous frames, characterizing it, and stating some of its properties, we refer to the investigation of the effect of similarity on the dual continuous frames in Hilbert C^*-modules.

کلمات کلیدی:
Hilbert C^*-module, Continuous frame, Riesz-type frame, Dual continuous frame, Similar continuous frame

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1950107/