Using elementary arguments we improve former results of P. Vrbová concerning local spectrum. As a consequence, we obtain a new proof of Kaplansky’s theorem on algebraic operators on a Banach space.
@article{bwmeta1.element.bwnjournal-article-cmv75z2p159bwm,
author = {Driss Drissi},
title = {Local spectrum and Kaplansky's theorem on algebraic operators},
journal = {Colloquium Mathematicae},
volume = {78},
year = {1998},
pages = {159-165},
zbl = {0907.47010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv75z2p159bwm}
}
Drissi, Driss. Local spectrum and Kaplansky's theorem on algebraic operators. Colloquium Mathematicae, Tome 78 (1998) pp. 159-165. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv75z2p159bwm/
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