Email this article Spectral analysis for infinite rank perturbations of unbounded diagonal operators
- Authors: Diagana T.1,2
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Affiliations:
- Department of Mathematics
- Department of Mathematics and Statistics
- Issue: Vol 9, No 3 (2017)
- Pages: 242-246
- Section: Short Communications
- URL: https://journals.rcsi.science/2070-0466/article/view/200857
- DOI: https://doi.org/10.1134/S2070046617030074
- ID: 200857
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Abstract
In this paper we study the spectral theory for the class of linear operators A∞ defined on the so-called non-archimedean Hilbert space Eω by, A∞:= D + F∞ where D is an unbounded diagonal linear operator and F∞:= Σk=1∞uk ⊗ vk is an operator of infinite rank on Eω.
About the authors
Toka Diagana
Department of Mathematics; Department of Mathematics and Statistics
Author for correspondence.
Email: tdiagana@howard.edu
United States, 2441 6th Street N.W., Washington D.C., 20059; Dhahran
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