On the Restrictions of Weakly Demicompact Operators and Generalized Fredholm Theory

• Date: 2026
• Keywords: keywords
• Main Authors: Kchaou, Omaima, Krichen, Bilel
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2026
• Subjects: слабко $S$-напівкомпактні оператори; узагальнені оператори Фредгольма; узагальнений істотний спектр
• Online Access: https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1126
• Journal Title: Journal of Mathematical Physics, Analysis, Geometry

The purpose of this paper is to explore the weak demicompactness of the operator $T_n$, which is the restriction of a linear operator $T$ to its range $\mathcal{R}(T^n)$, $T_n$ are considered as linear operators from $\mathcal{R}(T^n)$ to itself, $n\in\mathbb{N}$. As well, we present several results...