Abstract and Applied Analysis
Volume 2011 (2011), Article ID 361595, 20 pages
http://dx.doi.org/10.1155/2011/361595
Research Article

Continuous g-Frame in Hilbert 𝐶 ∗ -Modules

Mehdi Rashidi Kouchi1 and Akbar Nazari2

1Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman 7635131167, Iran
2Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman 7616914111, Iran

Received 18 August 2010; Revised 23 November 2010; Accepted 19 January 2011

Academic Editor: H. B. Thompson

Copyright © 2011 Mehdi Rashidi Kouchi and Akbar Nazari. 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.

Abstract

We give a generalization of g-frame in Hilbert 𝐶 ∗ -modules that was introduced by Khosravies then investigated some properties of it by Xiao and Zeng. This generalization is a natural generalization of continuous and discrete g-frames and frame in Hilbert space too. We characterize continuous g-frame g-Riesz in Hilbert 𝐶 ∗ -modules and give some equality and inequality of these frames.