Abstract
The paper deals with Bessel systems and Riesz-Fisher systems in Banach spaces with respect to some Banach spaces of vector-valued sequences. The notions of ~X-Bessel systems and ~X -Riesz-Fisher systems were introduced and the characterization of such systems was established. ~X -frames and ~X -Riesz g-bases are also studied in this paper. The relations between them are obtained.
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More From: Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
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