Yılmaz, YılmazBozkurt, Hacer2026-04-042026-04-0420242616-4906https://doi.org/10.30538/oms2024.0230https://hdl.handle.net/11616/108118Investigating the sequence spaces erp, 0 ≤ p < ∞, and er∞, is the aim of this work, which is done with some consideration to [1] and [2]. Also, we put forward some elite features of these spaces in terms of their bounded linear operators. To be more specific, we provide a response to the following: which of these spaces contain the properties of the Approximation, the Dunford-Pettis, the Radon-Riesz, and the Hahn-Banach extensions. Our study also examines the rotundity and smoothness of these spaces. © 2024 by the authors; licensee PSRP, Lahore, Pakistan.eninfo:eu-repo/semantics/openAccessapproximation propertyDunford-Pettis propertyEuler sequence spacesHahn-Banach extension propertyRadon-Riesz propertyrotunditysmoothnessArticle812813610.30538/oms2024.02302-s2.0-105016868686N/A