On numerical range and spectral properties of some classes of operators in hilbert spaces
Abstract
It is a well known fact in operator theory that the numerical range and spectral properties are significant in determining the behavior of different classes of operators. In this paper we focus mainly on the class of compact operators in Hilbert spaces. AMS subject classification 47B47, 47A30, 47B20.
Cited by 2
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- Comparison of numerical range properties and spectral properties of operators in Hilbert spaces ↗
Emmanuel Kipruto, Linety N. Muhati, Collins Meli · Journal of Mathematical Problems Equations and Statistics · 2026
In operator theory it is a well-known fact that numerical range and spectrum play significant roles either concurrently or in isolation. In this paper, we investigate those situations where they play complementary roles more specifically considering operator equations where they can be used interchangeably in order to give the desired solutions. AMS subject classification: 47B47, 47A30, 47B20.
- Role of numerical range on some operator equations in Hilbert spaces ↗
Emmanuel Kipruto, Linety Muhati, Collins Meli · Journal of Mathematical Problems Equations and Statistics · 2025
In operator theory equations occur in various situations. Some authors who have used the numerical range in solutions of such equations have mainly put some conditions on the closure of the numerical range rather than its interior. In this paper our task is to try and relax the conditions on the closure to mere interior of the numerical range.AMS subject
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