Vol. 61, No. 1, 1975

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Kato-Taussky-Wielandt commutator relations and characteristic curves

Fergus John Gaines

Vol. 61 (1975), No. 1, 121–128
Abstract

Let A and B be n × n matrices with elements in a field and let ΔAB = AB BA. Let fk(x) = x2K+1 c1x2K1 + c2x2K3 + + (1)KcKx, where the ci are in and K = k(k 1)2. In this paper we examine the consequences of the relation fkA)B = 0, where 1 k < n, and show how the replacement of A by xA + yB, when k = 2, leads to a splitting of the characteristic curve, det(xA + yB zI) = 0, into lines and conics.

Mathematical Subject Classification 2000
Primary: 15A21
Milestones
Received: 15 March 1975
Published: 1 November 1975
Authors
Fergus John Gaines