Local spectrum and Kaplansky's theorem on algebraic operators
Volume 75 / 1998
Colloquium Mathematicum 75 (1998), 159-165
DOI: 10.4064/cm-75-2-159-165
Abstract
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.
