A+ CATEGORY SCIENTIFIC UNIT

Spectra of the difference, sum and product of idempotents

Volume 148 / 2001

Mohamed Barraa, Mohamed Boumazgour Studia Mathematica 148 (2001), 1-3 MSC: 46C05, 47A10, 47B15. DOI: 10.4064/sm148-1-1

Abstract

We give a simple proof of the relation between the spectra of the difference and product of any two idempotents in a Banach algebra. We also give the relation between the spectra of their sum and product.

Authors

  • Mohamed BarraaDépartement de Mathématiques
    Faculté des Sciences Semlalia
    B.P. 2390 Marrakech, Maroc
    e-mail
  • Mohamed BoumazgourDépartement de Mathématiques
    Faculté des Sciences Semlalia
    B.P. 2390 Marrakech, Maroc
    e-mail

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