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Research Article Open access CC BY 4.0

Properties and Characterizations of Norm-Attainable Operators in Compact and Self-Adjoint Settings

Mogoi N. Evans, Samuel B. Apima

Asian Research Journal of Mathematics · pp. 96–102 · Published 24 Aug 2023

10.9734/arjom/2023/v19i10731

Abstract

In this research paper, we investigate the properties and characterizations of norm-attainable operators in the context of compactness and self-adjointness. We present a series of propositions, a lemma, a theorem, and a corollary that shed light on the nature of these operators and provide insights into their behavior in various settings. Our results contribute to the understanding of norm-attainable operators and their implications in functional analysis.

Compact operators numerical range function spaces normal operators self-adjoint operators functional calculus reflexive spaces finite-dimensional spaces

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