We give a survey of results concerning various classes of bounded linear operators in a Banach space defined by means of kernels and ranges. We show that many of these classes define a spectrum that satisfies the spectral mapping property.
@article{bwmeta1.element.bwnjournal-article-smv119i2p129bwm,
author = {M. Mbekhta and V. M\"uller},
title = {On the axiomatic theory of spectrum II},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {129-147},
zbl = {0857.47002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv119i2p129bwm}
}
Mbekhta, M.; Müller, V. On the axiomatic theory of spectrum II. Studia Mathematica, Tome 119 (1996) pp. 129-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv119i2p129bwm/
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