For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.
@article{bwmeta1.element.bwnjournal-article-apmv72z2p131bwm,
author = {Mart\'\i nez Mel\'endez, Angel and Wawrzy\'nczyk, Antoni},
title = {An approach to joint spectra},
journal = {Annales Polonici Mathematici},
volume = {72},
year = {1999},
pages = {131-144},
zbl = {0967.46033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv72z2p131bwm}
}
Martínez Meléndez, Angel; Wawrzyńczyk, Antoni. An approach to joint spectra. Annales Polonici Mathematici, Tome 72 (1999) pp. 131-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z2p131bwm/
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