A Few Properties of $\delta$-Continuity and $\delta$-Closure on Delta Weak Topological Spaces

Sanjay Roy

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arXiv · 2309.00631

A Few Properties of $\delta$-Continuity and $\delta$-Closure on Delta Weak Topological Spaces

Sanjay Roy

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Abstract

The main aim of this paper is to define a weakest topology $\sigma$ on a linear topological space $(E, \tau)$ such that each $\delta$-continuous functional on $(E, \tau)$ is $\delta$-continuous functional on $(E, \sigma)$ and to find out the relation between the set of these $\delta$-continuous functionals on $(E, \tau)$ and the set of all $\delta$-continuous functionals on $(E, \sigma)$. Also we find out the closure of a subset $A$ of $E$ on that weakest topology by the $\delta$-closure of $A$ with respect to the given topology.

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Sanjay Roy. 2023-08-12. A Few Properties of $\delta$-Continuity and $\delta$-Closure on Delta Weak Topological Spaces. https://arxiv.org/abs/2309.00631

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