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- W1418867462 abstract "We consider frames in a finite-dimensional Hilbert space where frames are exactly the spanning sets of the vector space. A factor poset of a frame is defined to be a collection of subsets of $I$, the index set of our vectors, ordered by inclusion so that nonempty $J subseteq I$ is in the factor poset if and only if ${f_i}_{i in J}$ is a tight frame. We first study when a poset $Psubseteq 2^I$ is a factor poset of a frame and then relate the two topics by discussing the connections between the factor posets of frames and their duals. Additionally we discuss duals with regard to $ell^p$ minimization." @default.
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- W1418867462 date "2016-03-02" @default.
- W1418867462 modified "2023-09-26" @default.
- W1418867462 title "Factor posets of frames and dual frames in finite dimensions" @default.
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- W1418867462 doi "https://doi.org/10.2140/involve.2016.9.237" @default.
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