Affiliation:
1. School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, PR China
Abstract
In this paper, we introduce the definition of the weighted numerical radius
??(x) for x ? E by using the linking algebra of a Hilbert C*-modules E,
which extends the definition of numerical radius ?(x) given by Zamani [
Math. Inequal. Appl. 24 (2021), 1017-1030 ]. Among other results, we show
that ??(x) is a norm on E such that 1/2 ?x?E ? max{?, 1 ? ?}?x?E ? ??(x) ?
?x?E, where 0 ? ? ? 1. In addition, some relevant results are discussed.
Publisher
National Library of Serbia