arXiv subjects
Publications and source records attributed to Jawad Ettayb.
In this paper, the structured pseudospectrum of non-archimedean matrices and structured pseudospectrum of non-archimedean matrix pencils are introduced. Many results are proved about them and we give a few examples.
Let $E$ be an ultrametric Banach space over $\mathbb{C}_{p}.$ In this note, we obtain a new necessary and sufficient conditions on the resolvent of $A$ such that for each $m\in\mathbb{N},\;\|A^{m}\|\leq1.$
Let $E$ be a complete Hausdorff locally convex space over $\mathbb{C}_{p},$ let $A\in\mathcal{L}(E)$ such that $(I-λA)^{-1}$ is analytic on its domain. In this paper, we give a necessary and sufficient condition on the resolvent of $A$ such that $(A^{n})_{n\in\mathbb{N}}$ is equi-continuous.
This paper deals with the condition pseudospectrum and essential condition pseudospectrum of operator pencils on n.a Banach spaces. We give a characterization of the condition pseudospectrum of operator pencils on n.a Banach spaces, the relation between the condition pseudospectrum of $(A,B)$ and the usual spectrum in a n.a valued field is investigated. Finally, we give a characterization of the essential spectrum of $(A,B)$ where $A\neq B$ by means of n.a completely continuous operators and we give some examples.
In this note, we introduce and study the left (right) pseudospectrum and left (right) condition pseudospectrum of bounded linear operators on ultrametric Banach spaces. We prove some results about them.