ON THE METRIC AND THE TOPOLOGICAL PROPERTIES OF THE CONVERGENCE FIELD OF REGULAR MATRIX TRANSFORMATIONS

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dc.contributor.authorNKUNO, DAUDA INUWA
dc.date.accessioned2025-08-19T09:44:49Z
dc.date.issued2025-08-15
dc.descriptionJobless Ph. D. student.
dc.description.abstractIt 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.
dc.description.sponsorshipSelf
dc.identifier.urihttps://repository.africarxiv.org/handle/1/4063
dc.identifier.urihttps://doi.org/10.60763/africarxiv/3822
dc.language.isoen
dc.subjectonvergence field
dc.subjectporosity
dc.subjectregional space
dc.subjecttopological space
dc.subjectopen ball
dc.subjectopen cover
dc.subjectneighborhood
dc.subjectcompact
dc.subjectcomplete
dc.subjectnormal
dc.subjectcountable
dc.subjectNorm
dc.subjectLinear space.
dc.titleON THE METRIC AND THE TOPOLOGICAL PROPERTIES OF THE CONVERGENCE FIELD OF REGULAR MATRIX TRANSFORMATIONS
dc.typeArticle

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