Matrix Quasinorms Induced by Maximal and Minimal Vector Norms

Autor: Jong-Do Park
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Journal of Function Spaces, Vol 2016 (2016)
Druh dokumentu: article
ISSN: 2314-8896
2314-8888
DOI: 10.1155/2016/5240218
Popis: In the set of all vector norms in Cn, there exist maximal and minimal complex norms which coincide with the real Euclidean norm in Rn. The purpose of this paper is to introduce new quasinorms defined on complex matrices. These two matrix quasinorms are induced by maximal and minimal complex vector norms. We also prove the dual relation between these two quasinorms.
Databáze: Directory of Open Access Journals