Some Characterizations of Riesz- Valued Sequence Spaces Generated by an Order ϕ-Function. (2nd January 2018)

• Record Type: Journal Article
• Authors: Herawati, E.; Supama, ; Mursaleen, M.; Nasution, M.
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 1(2018)
• Page Start: 38
• Page End: 46
• Publication Date: 2018-01-02
• Subjects: Modular -- order convergence -- order ϕ-function -- σ-order closed; Primary 39B82 -- Secondary 44B20 -- 46C05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1351987
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we introduce an order ϕ -function on a Riesz space. Further, we construct a Riesz- Valued Sequence spaces using the ϕ -function and obtain the condition to characterize these spaces.