- Fundamental Journal of Mathematics and Applications
- Vol: 2 Issue: 1
- Order-Preserving Variants of the Basic Principles of Functional Analysis
Order-Preserving Variants of the Basic Principles of Functional Analysis
Authors : Adilbek Zaitov
Pages : 10-17
Doi:10.33401/fujma.503688
View : 14 | Download : 8
Publication Date : 2019-06-17
Article Type : Research
Abstract :We will establish order-preserving versions of the basic principles of functional analysis such as Hahn-Banach, Banach-Steinhaus, open mapping, and Banach-Alaoglu theorems.Keywords : Functional analysis, Order-preserving functional, Vector space with an order unit