Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14280
For citation please use:
Main Title: Potter, Wielandt, and Drazin on the matrix equation $AB = \omega BA$, with some new answers to old questions
Author(s): Holtz, Olga
Mehrmann, Volker
Schneider, Hans
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15507
http://dx.doi.org/10.14279/depositonce-14280
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: In this partly historical and partly research oriented note, we display a page of an unpublished mathematical diary of Helmut Wielandt's for 1951. There he gives a new proof of a theorem due to H.~S.~A.~Potter on the matrix equation $AB = \omega BA$, which is related to the $q$-binomial theorem, and asks some further questions, which we answer. We also describe results by M.~P.~Drazin and others on this equation.
Subject(s): quasi-commutative matrices
q-binomial theorem
normal forms
simultaneous triangularizability
Issue Date: 13-Apr-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 15A27 Commutativity
15A24 Matrix equations and identities
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 10
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

Files in This Item:
hms1_ppt.pdf
Format: Adobe PDF | Size: 714.46 kB
DownloadShow Preview
Thumbnail
hms1_ppt.ps
Format: Postscript | Size: 2.97 MB
Download

Item Export Bar

Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.