Mustansiriyah Journal of Pure and Applied Sciences

On Hermitian Solution Equations-Type operators Associated with Hilbert Domain

Ihsan

Salim Dawood Mohsen

DOI: https://doi.org/10.47831/mjpas.v3i3.385

Keywords: Linear operator, Hermitian operator, Operator equation, Hilbert space, General solution

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Abstract

This work began by addressing the essential and sufficient requirements that must be met in order for a solution to the operator equation  system to exist, where these operators are linear and bounded on a Hilbert space. Subsequently, the general solution for this system was formulated, and the work concluded by discussing the existence of the Hermitian solution under specific conditions.