Weak and weak* I^K-convergence in normed spaces

2018/11/16 by Amar Kumar Banerjee, Banerjee, Amar Kumar, Mahendranath Paul +1
Mathematics · #40A35 (Primary) #40H05 (Secondary) #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #General Topology (math.GN) #Iterative Methods for Nonlinear Equations

paper · pdf · doi:10.48550/arxiv.1811.06707

openalex publication_date 2018/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main object of this paper is to study the concept of weak I^K-convergence, a generalization of weak I^*-convergence of sequences in a normed space, introducing the idea of weak* I^K-convergence of sequences of functionals where I,K are two ideals on ℕ, the set of all positive integers. Also we have studied the ideas of weak I^K and weak* I^K-limit points to investigate the properties in the same space.

Citations

• I-convergence classes of sequences and nets in topological spaces

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