The paper studies spectral sets of elements of Banach algebras as the zeros of holomorphic functions and describes them in terms of existence of idempotents. A new decomposition theorem characterizing spectral sets is obtained for bounded linear operators.
@article{bwmeta1.element.bwnjournal-article-smv123i2p97bwm,
author = {J. Koliha},
title = {Spectral sets},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {97-107},
zbl = {0877.46038},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv123i2p97bwm}
}
Koliha, J. Spectral sets. Studia Mathematica, Tome 122 (1997) pp. 97-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv123i2p97bwm/
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