Commutable Matrix-Valued Functions and Operator-Valued Functions

Year 2020, Volume: 3 Issue: 4, 225 - 235, 22.12.2020

Abdelaziz Maouche

https://doi.org/10.33434/cams.759336

Abstract

A simple expression is established for an analytic commutable matrix-valued function. Then a characterization of two by two functional commutative matrices is proven. Finally, a family of analytic normal compact operators on a Hilbert space, which commute with their derivatives, is shown to be functionally commutative.

Keywords

Riesz projection , Analytic matrix-valued function , Commutable matrices , Eigenvalue , Holomorphic operator-valued function , Resolvent , Spectrum

Supporting Institution

Sultan Qaboos university

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