Primitive Spaces of Matrices of Bounded Rank.ii
نویسندگان
چکیده
The classification of spaces of matrices of bounded rank is known to depend upon 'primitive' spaces, whose structure is considerably restricted. A characterisation of an infinite class of primitive spaces is given. The result is then applied to obtain a complete description of spaces whose matrices have rank at most 3. 1980 Mathematics subject classification (Amer. Math. Soc): 15 A 30, 15 A 03.
منابع مشابه
Primitive Spaces of Matrices of Bounded Rank
A weak canonical form is derived for vector spaces of m x 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. 1980 Mathematics subject classification (Amer. Math. Soc.): 15 A 30, 15 A...
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تاریخ انتشار 2012