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… Click to show full 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.
Keywords:
numerical radius;
radius;
hilbert modules;
radius hilbert;
weighted numerical
Journal Title: Filomat
Year Published: 2024
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Journal Title: Filomat
Year Published: 2024
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!