Commutable Matrix-Valued Functions and Operator-Valued Functions

Yıl 2020, Cilt: 3 Sayı: 4, 225 - 235, 22.12.2020

Abdelaziz Maouche

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

Öz

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.

Anahtar Kelimeler

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

Destekleyen Kurum

Sultan Qaboos university

Kaynakça

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