Factorization versus invertibility of matrix functions on compact abelian groups

Alex Brudnyi, Leiba Rodman, Ilya Spitkovsky

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Open problems are stated and some new results are proved concerning the relationship between invertibility and factorization in various Banach algebras of matrix-valued functions on connected compact abelian groups.

Original languageEnglish (US)
Title of host publicationA Panorama of Modern Operator Theory and Related Topics
Subtitle of host publicationThe Israel Gohberg Memorial Volume
PublisherSpringer Basel
Pages225-239
Number of pages15
ISBN (Electronic)9783034802215
ISBN (Print)9783034802208
DOIs
StatePublished - Jan 1 2012

Fingerprint

Invertibility
Matrix Function
Compact Group
Banach algebra
Abelian group
Open Problems
Factorization
Relationships

Keywords

  • Compact abelian groups
  • Factorization of Wiener-Hopf type
  • Function algebras

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Brudnyi, A., Rodman, L., & Spitkovsky, I. (2012). Factorization versus invertibility of matrix functions on compact abelian groups. In A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume (pp. 225-239). Springer Basel. https://doi.org/10.1007/978-3-0348-0221-5

Factorization versus invertibility of matrix functions on compact abelian groups. / Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya.

A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume. Springer Basel, 2012. p. 225-239.

Research output: Chapter in Book/Report/Conference proceedingChapter

Brudnyi, A, Rodman, L & Spitkovsky, I 2012, Factorization versus invertibility of matrix functions on compact abelian groups. in A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume. Springer Basel, pp. 225-239. https://doi.org/10.1007/978-3-0348-0221-5
Brudnyi A, Rodman L, Spitkovsky I. Factorization versus invertibility of matrix functions on compact abelian groups. In A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume. Springer Basel. 2012. p. 225-239 https://doi.org/10.1007/978-3-0348-0221-5
Brudnyi, Alex ; Rodman, Leiba ; Spitkovsky, Ilya. / Factorization versus invertibility of matrix functions on compact abelian groups. A Panorama of Modern Operator Theory and Related Topics: The Israel Gohberg Memorial Volume. Springer Basel, 2012. pp. 225-239
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