New semi-norm of semi-Hilbertian space operators and its application

Autor: Bhunia, Pintu, Sen, Anirban, Paul, Kallol
Rok vydání: 2021
Předmět:
Zdroj: J. Convex Anal. 29 (2022), no.4, 1149-1160
Druh dokumentu: Working Paper
Popis: In this paper, we introduce a new semi-norm of operators on a semi-Hilbertian space, which generalizes the A-numerical radius and A-operator semi-norm. We study the basic properties of this semi-norm, including upper and lower bounds for it. As an application of this new semi-norm, we obtain upper bounds for the A-numerical radius of semi-Hilbertian space operators, which are sharper than the earlier ones.
Databáze: arXiv