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- W2016353692 abstract "Motivated by the problem concerning the existence of non-singular bilinear maps, vector spaces of matrices consisting of matrices with rank bounded below are investigated. It is shown that bases for such spaces of maximum dimension can be chosen in such a way to consist of matrices of the minimal rank. An estimate of the ranks of matrices in particular types of bases for maximal such spaces is also given. This extends previously known results which were valid only in the case of spaces consisting of matrices of rank not equal to one." @default.
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- W2016353692 date "2009-09-01" @default.
- W2016353692 modified "2023-09-26" @default.
- W2016353692 title "Bases of spaces of matrices satisfying rank conditions" @default.
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- W2016353692 doi "https://doi.org/10.1080/03081080802316198" @default.
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