Factorization of Matrices with Symmetries over Function Algebras
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  • 作者：Leiba Rodman (1)
    Ilya M. Spitkovsky (2)
  • 关键词：Primary 15A54 ; Secondary 15A23 ; Wiener–Hopf factorization ; quasicanonical factorization ; canonical factorization ; matrix functions ; symmetries ; compact abelian groups ; function algebras
  • 刊名：Integral Equations and Operator Theory
  • 出版年：2014
  • 出版时间：December 2014
  • 年：2014
  • 卷：80
  • 期：4
  • 页码：469-510
  • 全文大小：523 KB
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  • 作者单位：Leiba Rodman (1)
    Ilya M. Spitkovsky (2)

    1. Department of Mathematics, College of William and Mary, Williamsburg, VA, 23187, USA
    2. Division of Science and Mathematics, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates
  • ISSN：1420-8989
文摘
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.
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