LINEAR-SPACES OF TOEPLITZ AND NILPOTENT MATRICES

被引：9
作者：
BRUALDI, RA
CHAVEY, KL
机构：
[1] Department of Mathematics, University of Wisconsin, Madison
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 1993年 / 63卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0097-3165(93)90025-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We determine the lower bound on the dimension of linear spaces of Toeplitz matrices which guarantees that it contains a matrix with rank at least equal to a specified number r. We also give elementary proofs of theorems of Gerstenhaber concerning the dimension of linear spaces of nilpotent matrices. Our proofs exhibit and exploit a combinatorial structure of these linear spaces. © 1993.
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页码：65 / 78
页数：14
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