On Norm Estimates for Derivations in Norm-Attainable Classes

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Published: Jan 16, 2023
Vol. 3 (2023), 9
DOI: https://doi.org/10.28924/ada/ma.3.9

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J. Z. Nyabonyi
Department of Mathematics and Actuarial Science, Kisii University, Kenya
N. B. Okelo
Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, Kenya
R. K. Obogi
Department of Mathematics and Actuarial Science, Kisii University, Kenya

Abstract

In this note, we provide detailed characterization of operators in terms of norm-attainability and norm estimates in Banach algebras. In particular, we establish the necessary and sufficient conditions for norm-attainability of the derivations and also give their norm bounds in the norm-attainable classes.

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Vol. 3 (2023)
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