A Geometric Perspective on Some Schroder Sequence Spaces

Investigation of some structral properties of some sequence spaces constructed using Schr¨oder numbers has recently become important. Some of the fundamental works on the investigation of the properties of these sequence spaces are given in (Daglı, 2022a,b) and (Yilmaz et al., 2025). In this work we are going to investigate some geometric properties such as rotundity and uniformly smoothness of the sequence spaces λ (S) where λ is c0, ℓ∞ or ℓp and 1 ≤ p < ∞.