On the Metric and the Topological Properties of the Convergence Field of Regular Matrix Transformations
Year: 2025
Type: preprint
Abstract: It has been shown by some researchers that the convergence field of regular matrix transformation is a very porous set in the spaceof all sequence of real or complex numbers while in [11 ], it have been proven to be σ-porous set in the linear metric space endowed with Fréchet metric. Also, the usefulness of the well-known theorem on discontinuity points of function of the first bare class has been presented. Thus in this paper, we proved that the convergence field of a various matrix transformation is a metric space as well as a topological space. Further, we have shown that the space is normal and first countable; compact and complete and have unique fix point.
Source: AfricArXiv (OSF Preprints)
Author: NKUNO, DAUDA INUWA
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7081640703
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