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Research Article Open access CC BY 4.0

Norm-Attainable Operators in Hilbert Spaces: Properties and Applications

Mogoi N. Evans, Samuel B. Apima

Advances in Research · pp. 65–70 · Published 12 Jan 2024

10.9734/air/2024/v25i11019

Abstract

This research paper explores various properties and implications of norm-attainable operators on Hilbert spaces. We establish lemmas, propositions, and theorems that shed light on the characteristics of these operators and their relationship with the geometry and structure of the underlying Hilbert space. These results have applications in functional analysis, linear algebra, and operator theory.

Functional analysis operator theory Hilbert spaces norm-attainable operators range of an operator Kernel of an operator compact operators unitary operators closed operators Banach-Alaoglu theorem

Cited by 1

Norm Attainability of Compact Operators: Spectral, Geometric, and Perturbation Insights

Mogoi N. Evans, A. O. · Archives of Current Research International · 2025

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