Continuous g-frame in Hilbert [C.sup.]-modules

We give a generalization of g-frame in Hilbert [C.sup.*]-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...

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Bibliographic Details
Published in:Abstract and applied analysis 2011-01
Main Authors: Kouchi, Mehdi Rashidi, Nazari, Akbar
Format: Article
Language:English
Subjects:
Functions, Continuous
Hilbert space
Inequalities (Mathematics)
Online Access:Get full text
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Summary:We give a generalization of g-frame in Hilbert [C.sup.*]-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.sup.*]-modules and give some equality and inequality of these frames.
ISSN:1085-3375
DOI:10.1155/2011/361595