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Continuous g‐Frame in Hilbert C∗‐Modules

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  • Mehdi Rashidi Kouchi
  • Akbar Nazari

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.

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Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:361595
DOI: 10.1155/2011/361595
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