Factorization of Matrices with Symmetries over Function Algebras

Leiba Rodman; Ilya M. Spitkovsky

doi:10.1007/s00020-014-2155-8

Factorization of Matrices with Symmetries over Function Algebras

Leiba Rodman, Ilya M. Spitkovsky

Mathematics

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

Abstract

Factorizations of the Wiener–Hopf type of classes of matrix functions with various symmetries are studied, in the abstract context of Banach algebras of functions over connected abelian compact groups. The symmetries in question are induced by involutive automorphisms or antiautomorphisms of the general linear group, and include many symmetries studied previously in the literature. In the present paper the focus is on quasicanonical (i.e., with equal indices) and canonical factorizations.

Original language	English (US)
Pages (from-to)	469-510
Number of pages	42
Journal	Integral Equations and Operator Theory
Volume	80
Issue number	4
DOIs	https://doi.org/10.1007/s00020-014-2155-8
State	Published - Nov 19 2014

Keywords

Wiener–Hopf factorization
canonical factorization
compact abelian groups
function algebras
matrix functions
quasicanonical factorization
symmetries

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-014-2155-8

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AB - Factorizations of the Wiener–Hopf type of classes of matrix functions with various symmetries are studied, in the abstract context of Banach algebras of functions over connected abelian compact groups. The symmetries in question are induced by involutive automorphisms or antiautomorphisms of the general linear group, and include many symmetries studied previously in the literature. In the present paper the focus is on quasicanonical (i.e., with equal indices) and canonical factorizations.

KW - Wiener–Hopf factorization

KW - canonical factorization

KW - compact abelian groups

KW - function algebras

KW - matrix functions

KW - quasicanonical factorization

KW - symmetries

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Factorization of Matrices with Symmetries over Function Algebras

Abstract

Keywords

ASJC Scopus subject areas

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