Boundedness Problem of Four-Dimensional Matrices on the Domain Spaces of $$\mathcal {L}_p$$Lp
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DOI: 10.1007/s00025-019-0958-2
Abstract: In this paper, we introduce and study the domain of an arbitrary four-dimensional summability matrix in the double sequence space $$\mathcal {L}_p$$Lp and focus on the boundedness problem of four-dimensional operators on it. We consider… read more here.
Keywords: dimensional matrices; matrices domain; problem four; four dimensional ... See more keywords
Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations
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DOI: 10.1007/s10958-018-4098-0
Abstract: We study the structure of rank-one matrices over the domain of principal ideals relative to equivalence and similarity transformations. The canonical form of rank-one matrices relative to similarity transformations is established. We propose conditions under… read more here.
Keywords: one matrices; structure rank; rank one; similarity transformations ... See more keywords