Abstract
In this paper, we study the relationship between the class of weakly demicompact linear operators, introduced in [KRICHEN, B.-OREGAN, D.: On the class of relatively weakly demicompact nonlinear operators, Fixed Point Theory 19 (2018), 625-630], and measures of weak noncompactness of linear operators with respect to an axiomatic one. Moreover, some Fredholm and perturbation results involving the class of weakly demicompact linear operators are investigated. Our results are then used to investigate the relationship between the relative essential spectrum of the sum of two linear operators and the relative essential spectrum of each of these operators. (C) 2019 Mathematical Institute Slovak Academy of Sciences
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 1403-1412 |
| Number of pages | 10 |
| Journal | Mathematica Slovaca |
| Volume | 69 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Dec 2019 |
Keywords
- Fredholm and semi-Fredholm operators
- demicompact linear operator
- measure of noncompactness
- relative essential spectrum
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Krichen, B,O'Regan, D