A new concept of spectrum for a solvable Lie algebra of operators is introduced, extending the Taylor spectrum for commuting tuples. This spectrum has the projection property on any Lie subalgebra and, for algebras of compact operators, it may be computed by means of a variant of the classical Ringrose theorem.
@article{bwmeta1.element.bwnjournal-article-smv135i2p163bwm,
author = {Daniel Belti\c t\u a},
title = {Spectrum for a solvable Lie algebra of operators},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {163-178},
zbl = {0946.47004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv135i2p163bwm}
}
Beltiţă, Daniel. Spectrum for a solvable Lie algebra of operators. Studia Mathematica, Tome 133 (1999) pp. 163-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i2p163bwm/
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