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Constructing Riesz-Fischer sequences from a Minimal sequence in a Hilbert space ℋ

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Publication:6180089
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DOI10.7153/mia-2023-26-45OpenAlexW4385695932MaRDI QIDQ6180089

Elias Zikkos

Publication date: 19 January 2024

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2023-26-45

zbMATH Keywords

biorthogonal systemsBessel sequencecomplete sequenceminimal sequenceRiesz-Fischer sequenceuniformly minimal sequence


Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Nontrigonometric harmonic analysis (42C99)




Cites Work

  • Unnamed Item
  • Riesz-Fischer sequences and lower frame bounds
  • A universal constant for exponential Riesz sequences
  • On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)
  • On a characterization of Riesz bases via biorthogonal sequences
  • Classification of General Sequences by Frame-Related Operators
  • Completeness and Basis Properties of Complex Exponentials
  • On Complete Biorthogonal Systems
  • Entire Functions and Muntz-Szasz Type Approximation
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