Geodesic
Local spectrum and Kaplansky's theorem on algebraic operators
Colloquium Mathematicum, Tome 75 (1998) no. 2, pp. 159-165

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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.
DOI : 10.4064/cm-75-2-159-165
Keywords: local spectral radius, local spectrum, algebraic operators

Driss Drissi 1

1 
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Driss Drissi. Local spectrum and Kaplansky's theorem on algebraic operators. Colloquium Mathematicum, Tome 75 (1998) no. 2, pp. 159-165. doi: 10.4064/cm-75-2-159-165

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