Normal forms of semilinear operators
type: Item
instance of: scholarly article
title: Normal forms of semilinear operators
zbMATH Open document ID: 0943.15004
published in: Mathematische Semesterberichte
publication date: 2000-08-30T00:00:00Z
review text: The author discusses normal forms of semilinear mappings of a finite-dimensional vector space into itself; the ground field is allowed to be skew. In contrast to a previous article by him [Boll. Unione Mat. Ital., VII. Ser., A 4, No. 2, 209-218 (1990; Zbl 0709.15003)] on the same subject, the present approach is based only on linear algebra and not on results from representation theory. A number of explicit examples illustrates that certain well-known theorems on linear endomorphisms cannot be carried over to semilinear mappings.
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A04
zbMATH DE Number: 1383923
zbMATH Keywords: semilinear mapping
zbMATH Keywords: normal form
zbMATH Keywords: canonical form
zbMATH Keywords: skew field
author: Ulrich Dempwolff
MaRDI profile type: Publication
full work available at URL: s005910050061
OpenAlex ID: W1995267116
DOI: 10.1007/S005910050061
description: scientific article; zbMATH DE number 1383923