Concrete minimal 3 × 3 Hermitian matrices and some general cases

Autor: Klobouk Abel H., Varela Alejandro
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Demonstratio Mathematica, Vol 50, Iss 1, Pp 330-350 (2017)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2017-0032
Popis: Given a Hermitian matrix M ∈ M3(ℂ) we describe explicitly the real diagonal matrices DM such that ║M + DM║ ≤ ║M + D║ for all real diagonal matrices D ∈ M3(ℂ), where ║ · ║ denotes the operator norm. Moreover, we generalize our techniques to some n × n cases.
Databáze: Directory of Open Access Journals