Symmetrically-spectral operators on $\ell_p$ $(1\leq p< \infty)$ and $c_0$ spaces

  • V. A. Marchenko V.N.Karazin Kharkiv National University
Keywords: symmetrically-spectral operator, symmetric basis, $C_0$-semigroup

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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Published
2013-11-22
Cited
How to Cite
Marchenko, V. A. (2013). Symmetrically-spectral operators on $\ell_p$ $(1\leq p&lt; \infty)$ and $c_0$ spaces. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, (1081), 33-44. https://doi.org/10.26565/2221-5646-2013-1081-04
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