1403/10/26
اصغر رحیمی

اصغر رحیمی

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم پایه
نشانی:
تلفن:

مشخصات پژوهش

عنوان
THE ALGEBRA OF BESSEL SEQUENCES AND MEANS OF FRAMES IN HILBERT SPACES
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Bessel sequence, positive frame, frame operator, means of frames
سال
2020
مجله Miskolc Mathematical Notes
شناسه DOI
پژوهشگران Esmaiel Alizadeh ، Asghar Rahimi ، Mortaza Rahmani

چکیده

In this paper, a one-to-one correspondence between Bessel sequences and bounded linear operators is provided. This leads to an algebra structure on the set of all Bessel sequences in a separable Hilbert space. Some kinds of frames as special classes of operators are considered. Also, normal Bessel sequences and positive frames are presented. Finally, power means of positive frames are introduced. These allow researches to construct a large number of new frames from existing frames.