Köthe Dual of Some Vector-valued Sequence Spaces

Authors

  • Mohamed Ahmed Sidaty Al Imam Muhammad Ibn Saud Islamic University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i1.4992

Keywords:

sequence spaces, locally convex sequence spaces, Banach spaces, summability

Abstract

We study some properties of the spaces λ(E) of weakly λ-summable sequences and λ⟨E⟩ of strongly λ-summable sequences of a locally convex space E. For example, after proving results on bounded sets of these spaces, we express the elements of their K öthe duals in terms of sequences in the continuous dual E′ of E, then we prove that these spaces possess the AK property if and only if the K ̈othe dual coincides with the continuous dual.

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Published

2024-01-31

Issue

Section

Nonlinear Analysis

How to Cite

Köthe Dual of Some Vector-valued Sequence Spaces. (2024). European Journal of Pure and Applied Mathematics, 17(1), 171-179. https://doi.org/10.29020/nybg.ejpam.v17i1.4992

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