Symmetrically-spectral operators on $\ell_p$ $(1\leq p< \infty)$ and $c_0$ spaces
Abstract
We introduce the concept of symmetrically-spectral operator which generalizes the concept of Riesz-spectral operator to the case of Banach spaces with symmetric basis. We obtain the theorem on the main properties of symmetrically-spectral operators on $\ell_p$ $(1\leq p< \infty)$ and $c_0$ spaces.
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References
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