Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative
Abstract
Spectral properties of analytic families of compact operators on a Hilbert space are studied. The results obtained are then used to establish that an analytic family of self-adjoint compact operators on a Hilbert space $\mathcal{H},$ which commute with their derivative, must be functionally commutative.
Keywords
Compact operator,Spectral decomposition,Analytic projection,Functional commutativity
Supporting Institution
Sultan Qaboos university
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