TIGHTENING FRAMES USING SOME ACTIONS ON THE FRAME OPERATOR

Abolhassan Fereydooni
2017 U.P.B. Sci. Bull., Series A   unpublished
In this paper, letting S be a frame operator, we show that there is a sequence of polynomials {pn(S)} n∈N , without the constant term, converging to the identity operator. We can choose n ∈ N such that the reconstruction formula induced by pn(S) is as tight as desired. The first degree polynomial with optimal bounds and a second degree polynomial are introduced.
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