Perfect Preconditioning of Frames by a Diagonal Operator

نویسندگان

  • Gitta Kutyniok
  • Kasso A. Okoudjou
چکیده

Frames which are tight might be considered optimally conditioned in the sense of their numerical stability. This leads to the question of perfect preconditioning of frames, i.e., modification of a given frame to generate a tight frame. In this paper, we analyze prefect preconditioning of frames by a diagonal operator. We derive various characterizations of functional analytic and geometric type of the class of frames which allow such a perfect preconditioning.

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تاریخ انتشار 2013