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Lower bounds for Riesz-Fischer maps in rigged Hilbert spaces

Functional Analysis 2022-12-23 v1

Abstract

This note concerns a further study about Riesz-Fischer maps, already introduced by the author in a recent work, that is a notion that extends to the spaces of distributions the sequences that are known as Riesz-Fischer sequences. In particular it is proved a characterizing inequality that have as consequence the existence of the continuous inverse of the synthesis operator.

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Cite

@article{arxiv.2212.11351,
  title  = {Lower bounds for Riesz-Fischer maps in rigged Hilbert spaces},
  author = {Francesco Tschinke},
  journal= {arXiv preprint arXiv:2212.11351},
  year   = {2022}
}

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8 pages