Commutable Matrix-Valued Functions and Operator-Valued Functions

Abdelaziz  Maouche

doi:10.33434/cams.759336

Commutable Matrix-Valued Functions and Operator-Valued Functions

Abdelaziz Maouche

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	225-235
Number of pages	10
Journal	Communications in Advanced Mathematical Sciences
Volume	III
Issue number	4
DOIs	https://doi.org/10.33434/cams.759336
Publication status	Published - 2020

Keywords

Analytic matrix valued function, commutable matrices, eigenvalue, holomorphic operator-valued function, resolvent, Riesz projection, spectrum

Access to Document

10.33434/cams.759336

Cite this

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title = "Commutable Matrix-Valued Functions and Operator-Valued Functions",

abstract = "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.",

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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.

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