On Pairs of Self-Adjoint Operators

Key Points

• The aim is to explore the structure theory of pairs of self-adjoint operators based on previous works.
• Review of previous literature by Kiev mathematicians and others.
• Analysis of bounded and unbounded self-adjoint operators.
• Examination of algebraic relations between operators.
• Elucidation of structural properties of self-adjoint operator pairs.
• Identification of algebraic relations that govern these operators.