Abstract
Let X be a complex Banach space and let L(X) be the algebra of all bounded linear operators on X. We characterize additive continuous maps from L(X) onto itself which preserve the inner local spectral radius at a nonzero fixed vector.
Mathematics Subject Classification (2010). Primary 47B49; Secondary 47A10, 47A53.
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Bendaoud, M., Sarih, M. (2014). Additive Maps Preserving the Inner Local Spectral Radius. In: Cepedello Boiso, M., Hedenmalm, H., Kaashoek, M., Montes Rodríguez, A., Treil, S. (eds) Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation. Operator Theory: Advances and Applications, vol 236. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0648-0_5
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DOI: https://doi.org/10.1007/978-3-0348-0648-0_5
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