On Bessel and Riesz-Fisher systems with respect to Banach space of vector-valued sequences

Authors

  • Migdad I. Isnailov Baku State University; National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.2.10

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.

Author Biography

Migdad I. Isnailov, Baku State University; National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

Institute of Mathematics and Mechanics

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Published

2020-01-20

Issue

Vol. 12(61) No. 2 (2019)

Section

MATHEMATICS