Approximating commuting operators

Authors
Holbrook, J Omladic, M
Citation
J. Holbrook et M. Omladic, Approximating commuting operators, LIN ALG APP, 327(1-3), 2001, pp. 131-149
Citations number
16
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
327
Issue
1-3
Year of publication
2001
Pages
131 - 149
Database
ISI
SICI code
0024-3795(20010415)327:1-3<131:ACO>2.0.ZU;2-K
Abstract
The problem of approximating m-tuples of commuting n x n complex matrices b y commuting m-tuples of generic matrices is studied. We narrow the gap for commuting triples by showing that they can be perturbed if n < 6 and that t hey are not always perturbable if n > 29. (C) 2001 Elsevier Science Inc. Al l rights reserved.