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• W2964198186 abstract "Given a bounded normal operator A in a Hilbert space and a fixed vector x, we elaborate on the problem of finding necessary and sufficient conditions under which (Akx)k∈N constitutes a Bessel sequence. We provide a characterization in terms of the measure ‖E(⋅)x‖2, where E is the spectral measure of the operator A. In the separately treated special cases where A is unitary or selfadjoint we obtain more explicit characterizations. Finally, we apply our results to a sequence (Akx)k∈N, where A arises from the heat equation. The problem is motivated by and related to the new field of Dynamical Sampling which was recently initiated by Aldroubi et al. in [3]." @default.
• W2964198186 created "2019-07-30" @default.
• W2964198186 creator A5051502163 @default.
• W2964198186 date "2017-04-01" @default.
• W2964198186 modified "2023-09-30" @default.
• W2964198186 title "Bessel orbits of normal operators" @default.
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• W2964198186 doi "https://doi.org/10.1016/j.jmaa.2016.11.009" @default.
• W2964198186 hasPublicationYear "2017" @default.
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