Characterizing Riesz Bases via Biorthogonal Riesz-Fischer sequences
Functional Analysis
2022-12-06 v1
Abstract
In this note we prove that if two Riesz-Fischer sequences in a separable Hilbert space are biorthogonal and one of them is complete in , then both sequences are Riesz bases for . This complements a recent result by D. T. Stoeva where the same conclusion holds if one replaces the phrase ``Riesz-Fischer sequences'' by ``Bessel sequences''.
Cite
@article{arxiv.2212.02252,
title = {Characterizing Riesz Bases via Biorthogonal Riesz-Fischer sequences},
author = {Elias Zikkos},
journal= {arXiv preprint arXiv:2212.02252},
year = {2022}
}