Year: 2026
Type: article
Abstract: This paper explores the idea of the dual space of an exponential vector space (evs), focusing on its fundamental properties and structural features. Using the simplest topological evs $[0,\infty)$, over the field $\mathbb{K}$ of all real or complex numbers, we develop the general theory of order-functionals which are an analog of a functional-like structure in the evs-setting. The collection of all order-functionals on an evs is called the dual of the evs, whenever this collection is again an evs. We find a necessary and sufficient condition for this collection to be an evs. We compute the dual of some evs and finally present an application of order-functionals.
Author: Jayeeta Saha
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: University of Calcutta
OpenAlex ID: W7129519873