On a characterization of convergence in Banach spaces with a Schauder basis

Title

On a characterization of convergence in Banach spaces with a Schauder basis

Description

We extend the well-known characterizations of convergence in the spaces lp (1 ≤ p < ∞) of p-summable sequences and c0 of vanishing sequences to a general characterization of convergence in a Banach space with a Schauder basis and obtain as instant corollaries characterizations of convergence in an infinite-dimensional separable Hilbert space and the space c of convergent sequences.

Fresno State author

Marat Markin
Olivia Soghomonian

Department

Mathematics

Format

article

Full text

https://doi.org/10.1155/2021/1640183

Citation Info

Markin, M. V., & Soghomonian, O. B. (2021). On a characterization of convergence in Banach spaces with a Schauder basis. International Journal of Mathematics and Mathematical Sciences, 2021, 1–5. https://doi.org/10.1155/2021/1640183

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Citation

“On a characterization of convergence in Banach spaces with a Schauder basis,” Outstanding Faculty Publications, accessed May 14, 2024, https://facpub.library.fresnostate.edu/items/show/300.