Matrix spaces with bounded number of eigenvalues

被引：7

作者：

Omladic, M

Semrl, P

机构：

[1] Department of Mathematics, University of Ljubljana, 61000 Ljubljana

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 249卷

关键词：

D O I：

10.1016/0024-3795(95)00253-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let V be a linear space of n x n complex matrices with the property that the cardinality of the spectrum of every A E V is at most k. We determine the maximum dimension of such spaces for k is an element of {1, 2, n - 1}. The structure of such spaces of the maximum dimension is also described. (C) Elsevier Science Inc., 1996

引用

页码：29 / 46

页数：18

共 13 条

[1] Atkinson M.D., 1980, Bull. Lond. Math. Soc., V12, P89
[2] Atkinson M.D., 1983, LINEAR MULTILINEAR A, V13, P231
[3] PRIMITIVE SPACES OF MATRICES OF BOUNDED RANK .2.
ATKINSON, MD
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1983, 34 (JUN): : 306 - 315
[4] LARGE SPACES OF MATRICES OF BOUNDED RANK
ATKINSON, MD
LLOYD, S
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1980, 31 (123) : 253 - 262
[5] PRIMITIVE SPACES OF MATRICES OF BOUNDED RANK
ATKINSON, MD
LLOYD, S
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1981, 30 (APR): : 473 - 482
[6] BEASLEY LB, 1985, LINEAR MULTILINEAR A, V18, P249
[7] LINEAR-SPACES OF TOEPLITZ AND NILPOTENT MATRICES
BRUALDI, RA
CHAVEY, KL
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1993, 63 (01) : 65 - 78
[8] Fillmore P., 1985, LINEAR MULTILINEAR A, V18, P255
[9] FLANDERS H, 1962, J LOND MATH SOC, V37, P10
[10] ON NILALGEBRAS AND LINEAR VARIETIES OF NILPOTENT MATRICES .1.
GERSTENHABER, M
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1958, 80 (03) : 614 - 622

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