Pseudoframes for Subspaces with Applications
نویسندگان
چکیده
A notion of pseudoframes for subspaces (PFFS) is defined and characterized in a separable Hilbert space H. PFFS functions in a manner of a frame for a subspace X in H. Yet none of the pair of sequences {xn} and {x∗ n} is necessarily contained in X . This gives rise to attractive properties that center around the flexibility. A necessary and sufficient characterization of PFFSs is provided. Analytical formulae for the constructions of PFFSs in two directions are derived. Examples are considered. Some insight relationships of an PFFS for X and a frame of X are also observed thanks to a private communication with Casazza. Further applications of PFFSs are also discussed.
منابع مشابه
A Theory of Pseudoframes for Subspaces with Applications
We de ne and characterize a frame-like stable decomposition for subspaces of a general separable Hilbert space. We call it pseudoframes for subspaces (PFFS). Properties of PFFS are discussed. A necessary and su cient characterization of PFFSs is provided. Analytical formulae for the construction of PFFSs are derived. Examples and applications of PFFSs are discussed.
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تاریخ انتشار 2004