Primitive spaces of matrices of bounded rank

Primitive spaces of matrices of bounded rank
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DOI:
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发表时间:
1981
影响因子:
0.7
通讯作者:
D. E. Taylor
D. E. Taylor
中科院分区:
数学3区
文献类型:
--
作者:
M. Atkinson;D. E. Taylor

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Abstract A weak canonical form is derived for vector spaces of m × n matrices all of rank at most r. This shows that the structure of such spaces is controlled by the structure of an associated ‘primitive’ space. In the case of primitive spaces it is shown that m and n are bounded by functions of r and that these bounds are tight.