• Questions concerning matrix algebras and invariance of spectrum

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    • 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

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