TY - JOUR
T1 - Commutable Matrix-Valued Functions and Operator-Valued Functions
AU - Maouche, Abdelaziz
PY - 2020
Y1 - 2020
N2 - A simple expression is established for an analytic commyuable matrix-valued function. Then a characterization of two functional commutative matrices is proven. Finally, a family of analytic normal compact operator on a Hilbert space, which commute with their derivative s, is shown to be functionally commutative.
AB - A simple expression is established for an analytic commyuable matrix-valued function. Then a characterization of two functional commutative matrices is proven. Finally, a family of analytic normal compact operator on a Hilbert space, which commute with their derivative s, is shown to be functionally commutative.
KW - Analytic matrix valued function, commutable matrices, eigenvalue, holomorphic operator-valued function, resolvent, Riesz projection, spectrum
U2 - 10.33434/cams.759336
DO - 10.33434/cams.759336
M3 - Article
SN - 2651-4001
VL - III
SP - 225
EP - 235
JO - Communications in Advanced Mathematical Sciences
JF - Communications in Advanced Mathematical Sciences
IS - 4
ER -