On Numerical Ranges and Spectra of Norm Attaining Operators in C*-Algebras

Sabasi Omaoro, Benard Okelo, Omolo Ongati

Abstract

In this paper, we study norm attaining operators in Cāˆ—-algebras. We characterize their numerical ranges and spectra. In particular, we show that if a norm-attaining operator S is self-adjoint, then its spectrum lies in the interval [āˆ’||S||, ||S||].

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Pan-Amer. J. Math. 2 (2023), 10
DOI: https://doi.org/10.28919/cpr-pajm/2-10
This article was published on August 25, 2023 by Mathyze, under a Creative Commons Attribution 4.0 International License.