On spectral continuity of the essential spectrum
dc.contributor.author | DJABRI, Kenza | |
dc.date.accessioned | 2020-10-21T13:58:52Z | |
dc.date.available | 2020-10-21T13:58:52Z | |
dc.date.issued | 2020 | |
dc.description.abstract | In this work, we discussed the spectrum continuity of some parts of the essential spectrum using a specific mode of convergence. more precisely, we investigate the relation between the essential approximate point spectrum of a sequence of bounded linear operators (𝑇𝑛)𝑛∈ℕ on Banach space 𝑋 and the essential approximate point spectrum of a linear operator 𝑇 on X, where (𝑇𝑛)𝑛∈ℕ convergent to T in 𝑣-convergence sense. | en_US |
dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/20012 | |
dc.language.iso | en | en_US |
dc.publisher | Faculty of Mathematics and computer sciences Department of Mathematics - Option : Mathematical and Numerical Analysis | en_US |
dc.subject | Essential spectrum, the 𝑣-convergence, spectral continuity. | en_US |
dc.title | On spectral continuity of the essential spectrum | en_US |
dc.type | Thesis | en_US |