Characterizing Riesz bases via biorthogonal Bessel sequences
نویسندگان
چکیده
Recently D.T. Stoeva proved that if two Bessel sequences in a separable Hilbert space $\mathcal H$ are biorthogonal and one of them is complete H$, then both Riesz bases for H$. This improves well known result where completeness assumed on sequences.
 In this note we present an alternative proof Stoeva's which quite short elementary, based the notion Riesz-Fischer sequences.
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ژورنال
عنوان ژورنال: Carpathian Mathematical Publications
سال: 2023
ISSN: ['2075-9827', '2313-0210']
DOI: https://doi.org/10.15330/cmp.15.2.377-380