Abstract
We develop the tensor spectral radius technique and the theory of the tensor Jacobson radical. Based on them we obtain several results on spectra of multiplication operators on Banach bimodules and indicate some applications to the spectral theory of elementary and multiplication operators on Banach algebras and modules with various compactness properties.
Mathematics Subject Classification (2000).Primary 46H15, 46H25; Secondary 16Nxx.
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Shulman, V.S., Turovskii, Y.V. (2011). Topological Radicals, II. Applications to Spectral Theory of Multiplication Operators. In: Curto, R., Mathieu, M. (eds) Elementary Operators and Their Applications. Operator Theory: Advances and Applications(), vol 212. Springer, Basel. https://doi.org/10.1007/978-3-0348-0037-2_5
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DOI: https://doi.org/10.1007/978-3-0348-0037-2_5
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