- Communications in Advanced Mathematical Sciences
- Vol: 3 Issue: 1
- Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative
Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative
Authors : Abdelaziz Maouche
Pages : 9-12
Doi:10.33434/cams.627282
View : 11 | Download : 7
Publication Date : 2020-03-25
Article Type : Research
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