Order-Preserving Variants of the Basic Principles of Functional Analysis

Authors : Adilbek ZAİTOV

Pages : 10-17

Doi:10.33401/fujma.503688

View : 16 | Download : 6

Publication Date : 2019-06-17

Article Type : Research Paper

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