Congruential automorphism groups of general matrices. (Q1415305)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Congruential automorphism groups of general matrices. |
scientific article; zbMATH DE number 2012714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruential automorphism groups of general matrices. |
scientific article; zbMATH DE number 2012714 |
Statements
Congruential automorphism groups of general matrices. (English)
0 references
3 December 2003
0 references
Two square complex matrices \(A\) and \(B\) are said to be congruent, if \(B=C^*AC\) for a non-singular matrix \(C\). The equivalence class is a group in the case \(A=B\), called the automorphism group \(\Aut (A)\) of \(A\). It is shown that if \(A\) is non-singular and \(A^{-1}A^*\) is not similar to a unitary matrix, then the group \(\Aut(A)\) is unbounded with respect to a matrix norm.
0 references
Automorphism group
0 references
Bounded canonical angles
0 references
Congruence
0 references
Simple canonical lines
0 references
Unitoid
0 references
