Title of article
Some general techniques on linear preserver problems Original Research Article
Author/Authors
Alexander Guterman، نويسنده , , Chi-Kwong Li، نويسنده , , Peter imageemrl، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
21
From page
61
To page
81
Abstract
Several general techniques on linear preserver problems are described. The first one is based on a transfer principle in Model Theoretic Algebra that allows one to extend linear preserver results on complex matrices to matrices over other algebraically closed fields of characteristic 0. The second one concerns the use of some simple geometric technique to reduce linear preserver problems to standard types so that known results can be applied. The third one is about solving linear preserver problems on more general (operator) algebras by reducing the problems to idempotent preservers. Numerous examples will be given to demonstrate the proposed techniques.
Keywords
Algebraically closed fields , Matrices , Idempotent , Nilpotent , Linear preserver
Journal title
Linear Algebra and its Applications
Serial Year
2000
Journal title
Linear Algebra and its Applications
Record number
823043
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