Order-Preserving Variants of The Basic Principles of Functional Analysis

2019/01/03 by A. A. Zaitov, Zaitov, A. A.
Mathematics · #46B40 #46T99 #47H07 #Advanced Banach Space Theory #FOS: Mathematics #Functional Equations Stability Results #General Topology (math.GN) #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1901.00651

openalex publication_date 2019/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We established order-preserving versions of the basic principles of functional analysis such as Hahn-Banach, Banach-Steinhaus, open mapping and Banach-Alaoglu theorems.

Citations

• Idempotent measures:absolute retracts and soft maps
• Vector spaces with an order unit

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