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1 results

  • ON NEAR EXACT BANACH FRAMES IN BANACH SPACES

  • Part of
  • P. K. JAIN, S. K. KAUSHIK, NISHA GUPTA
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 78 / Issue 2 / October 2008
    Published online by Cambridge University Press:
    01 October 2008, pp. 335-342
    Print publication:
    October 2008
    • Article
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  • Near exact Banach frames are introduced and studied, and examples demonstrating the existence of near exact Banach frames are given. Also, a sufficient condition for a Banach frame to be near exact is obtained. Further, we consider block perturbation of retro Banach frames, and prove that a block perturbation of a retro Banach frame is also a retro Banach frame. Finally, it is proved that if E and F are both Banach spaces having Banach frames, then the product space E×F has an exact Banach frame.