A brief on some equalities for continuous g-frames in Hilbert spaces

Author(s):

Sayyed Mehrab Ramezani *

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this work‎, ‎we generalize the equalities from ‎ g‎-frame and g‎-Bessel sequences to continuous g‎-frame and continuous g‎-Bessel sequences in Hilbert spaces‎. ‎This generalization enables us to obtain the relationship between continuous g-frames and their alternate dual on a measure space‎.
Keywords:

Hilbert spaces‎ , ‎continuous g-Bessel sequences‎ , ‎continuous g-frames‎ , ‎Pseudo-inverse operator

Language:
English
Published:
Caspian Journal of Mathematical Sciences, Volume:12 Issue: 2, Summer Autumn 2023
Pages:
323 to 332
https://www.magiran.com/p2698658  
سامانه نویسندگان
  • Sayyed Mehrab Ramezani
    Author
    Assistant Professor mathematics, University of Yasuj, Yasuj, Iran
    Ramezani، Sayyed Mehrab
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