Spectra of the difference, sum and product of idempotents
Mohamed Barraa ; Mohamed Boumazgour
Studia Mathematica, Tome 147 (2001), p. 1-3 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:285134
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     author = {Mohamed Barraa and Mohamed Boumazgour},
     title = {Spectra of the difference, sum and product of idempotents},
     journal = {Studia Mathematica},
     volume = {147},
     year = {2001},
     pages = {1-3},
     zbl = {0999.47003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm148-1-1}
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Mohamed Barraa; Mohamed Boumazgour. Spectra of the difference, sum and product of idempotents. Studia Mathematica, Tome 147 (2001) pp. 1-3. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm148-1-1/