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.
@article{10_4064_sm148_1_1,
author = {Mohamed Barraa and Mohamed Boumazgour},
title = {Spectra of the difference, sum and product of idempotents},
journal = {Studia Mathematica},
pages = {1--3},
year = {2001},
volume = {148},
number = {1},
doi = {10.4064/sm148-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm148-1-1/}
}
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AU - Mohamed Boumazgour
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VL - 148
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Mohamed Barraa; Mohamed Boumazgour. Spectra of the difference, sum and product of idempotents. Studia Mathematica, Tome 148 (2001) no. 1, pp. 1-3. doi: 10.4064/sm148-1-1