A new type of Numerical radius of operators on Hilbert $C^{\ast }$-module

Marzieh Mehrazin, Maryam Amyari, Mohsen Erfanian Omidvar

In this paper, we define a new concept of numerical range $W_o(\cdot )$ and prove its basic results. We also define the numerical radius ${\omega }_o(\cdot )$ and prove that $$ω_{o}(T)\l…