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Continuous g-Frame in Hilbert -Modules

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  • Mehdi Rashidi Kouchi
  • Akbar Nazari

Abstract

We give a generalization of g-frame in Hilbert -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 -modules and give some equality and inequality of these frames.

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  • Mehdi Rashidi Kouchi & Akbar Nazari, 2011. "Continuous g-Frame in Hilbert -Modules," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-20, March.
    • Handle: RePEc:hin:jnlaaa:361595
    DOI: 10.1155/2011/361595
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