An intrinsic characterization of semi-normal operators
L. Z. Gevorgyan
TL;DR
This paper provides a complete characterization of semi-normal operators through two key conditions and describes the set where a Volterra integration operator and its adjoint are metrically equal.
Contribution
It introduces new necessary and sufficient conditions for semi-normality and analyzes the metric equality set for Volterra operators.
Findings
Two conditions characterize semi-normal operators.
The metric equality set for Volterra operators is described.
Provides theoretical insights into operator properties.
Abstract
Two necessary and sufficient conditions for an operator to be semi-normal are revealed. For a Volterra integration operator the set where the operator and its adjoint are metrically equal is described.
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Taxonomy
TopicsMatrix Theory and Algorithms · Differential Equations and Boundary Problems · Holomorphic and Operator Theory