Article

A variant of the Banach-Steinhaus theorem for weakly additive, order-oreserving operators

FERUZ S. AKTAMOVChirchik State Pedagogical University, 104, Amir Temur Str, Chirchik city 111708, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

The Banach-Steinhaus theorem is one of the basic principles of Functional Analysis. We prove a weakly additive, order-preserving version of the Banach-Steinhaus theorem on spaces with order unit.

Topics

Advanced Banach Space Theory Mathematical and Theoretical Analysis Functional Equations Stability Results

Identifiers

DOI: 10.1063/5.0200264

Citations and references

Cited by 1 7 references

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