Abstract
Two important topics in the theory of frames are \(\epsilon \)-approximations and dynamical representations, which have been investigated in both classical and generalized contexts. In this paper, we try to consider these topics in the setting of Hilbert–Schmidt frames. In fact, we introduce \(\epsilon \)-approximations and dynamical representations of Hilbert–Schmidt frames. Such a representation is obtained via iterative actions of an invertible, bounded operator defined on the underlying Hilbert space.
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The authors would like to thank the anonymous referee for his/her valuable comments enriching the content of the paper.
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Movahed, S., Ahmadi Ledari, A. & Hosseini Giv, H. \(\epsilon \)-approximations and dynamical representations of Hilbert–Schmidt frames. Mediterr. J. Math. 19, 186 (2022). https://doi.org/10.1007/s00009-022-02039-w
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DOI: https://doi.org/10.1007/s00009-022-02039-w