THE NECESSARY AND SUFFICIENT CONDITION FOR THE δ - POROSITY OF THE CONVERGENCE FIELD OF REGULAR MATRIX TRANSFORMATIONS

dc.contributor.authorNKUNO, DAUDA INUWA
dc.contributor.authorKILTHO, AHMADU
dc.contributor.authorNWUNUJI, ADAMU A.
dc.date.accessioned2025-08-15T11:18:01Z
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 [3], 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 provided the necessary and sufficient conditions under which the convergence field of a various matrix transformation is σ-porous.
dc.description.provenanceSubmitted by Dauda Inuwa NKUNO (daudainuwa0@gmail.com) on 2025-08-15T08:38:24Z workflow start=Step: reviewstep - action:claimaction No. of bitstreams: 1 DAUDA INUWA (POROSITY).pdf: 72964 bytes, checksum: de67fee22b0415fc4c062feb826d175b (MD5)en
dc.description.provenanceStep: reviewstep - action:reviewaction Approved for entry into archive by Jo Havemann (jo@africarxiv.org) on 2025-08-15T11:18:01Z (GMT)en
dc.description.provenanceMade available in DSpace on 2025-08-15T11:18:01Z (GMT). No. of bitstreams: 1 DAUDA INUWA (POROSITY).pdf: 72964 bytes, checksum: de67fee22b0415fc4c062feb826d175b (MD5) Previous issue date: 2025-08-15en
dc.description.sponsorshipSelf
dc.identifier.urihttps://africarxiv.ubuntunet.net/handle/1/4060
dc.identifier.urihttps://doi.org/10.60763/africarxiv/3819
dc.language.isoen
dc.subjectPorosity
dc.subjectσ-porous
dc.subjectRegular matrix
dc.subjectmatrix transformation
dc.subjectconvergence field
dc.titleTHE NECESSARY AND SUFFICIENT CONDITION FOR THE δ - POROSITY OF THE CONVERGENCE FIELD OF REGULAR MATRIX TRANSFORMATIONS
dc.typeThesis

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