Skip to content
Advances in Inequalities and Applications ISSN 2050-7461

Archives › Volume 2015 (2015)

Adv. Inequal. Appl. 2015 (2015), Article ID 1

On some equalities and inequalities of continuous g-frames in Hilbert C*-modules

Mohsen Teymournia, Mehdi Rashidi-Kouchi

PDF (162.3 KB)

Abstract

Continuous g-frame in Hilbert C*-module is a generalization of g-frame in Hilbert C*- module. This generalization is a natural generalization of continuous and discrete g-frame and frame in Hilbert space too. Some equalities and inequalities of continuous g-frames in Hilbert C*-module has been verified. In this paper we present some others equalities and inequalities of continuous g-frames in Hilbert C*-module. These equalities and inequalities are generalization of some equalities and inequalities in frame and g-frame in Hilbert C*-modules and Hilbert space. Also continuous g-frame identity in Hilbert C*- modules is discussed.

Published
2 March 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Mohsen Teymournia, Mehdi Rashidi-Kouchi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Teymournia, M. Rashidi-Kouchi, On some equalities and inequalities of continuous g-frames in Hilbert C*-modules, Adv. Inequal. Appl. 2015 (2015), 1.

BibTeX
@article{Teymournia2015,
  author  = {Teymournia, Mohsen and Rashidi-Kouchi, Mehdi},
  title   = {On some equalities and inequalities of continuous g-frames in Hilbert C*-modules},
  journal = {Adv. Inequal. Appl.},
  volume  = {2015},
  year    = {2015},
  pages   = {1},
  doi     = {}
}