Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative

Year 2020, Volume: 3 Issue: 1, 9 - 12, 25.03.2020

Abdelaziz Maouche

https://doi.org/10.33434/cams.627282

Cited By: 3

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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