• Questions concerning matrix algebras and invariance of spectrum

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/113/01/0071-0076

    • Keywords

       

      Banach algebra; inverse closed; symmetric *-algebra; matrix algebra

    • Abstract

       

      LetA andB be unital Banach algebras withA a subalgebra ofB. Denote the algebra of alln xn matrices with entries fromA byMn (A). In this paper we prove some results concerning the open question: IfA is inverse closed inB, then isMn (A) inverse closed inMn (B)? We also study related questions in the setting where A is a symmetric Banach *-algebra.

    • Author Affiliations

       

      Bruce A Barnes1

      1. Department of Mathematics, University of Oregon, Eugene, Oregon - 97403, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.