MATRIX SPACES WITH BOUNDED NUMBER OF EIGENVALUES

Authors
Citation
M. Omladic et P. Semrl, MATRIX SPACES WITH BOUNDED NUMBER OF EIGENVALUES, Linear algebra and its applications, 249, 1996, pp. 29-46
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00243795
Volume
249
Year of publication
1996
Pages
29 - 46
Database
ISI
SICI code
0024-3795(1996)249:<29:MSWBNO>2.0.ZU;2-S
Abstract
Let V be a linear space of n x n complex matrices with the property th at the cardinality of the spectrum of every A E V is at most k. We det ermine 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 a lso described. (C) Elsevier Science Inc., 1996