Some Results on Fredholm Operators, Essential Spectra, and Application
β Scribed by Khalid Latrach; Aref Jeribi
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 294 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, after a characterization of a class of bounded Fredholm operators on Banach spaces, we investigate the essential spectra of closed, densely defined linear operators on L spaces. The obtained results are used to describe the p essential spectra of one-dimensional transport equations with general boundary conditions.
π SIMILAR VOLUMES
The stability of essential spectra of a closed, densely defined linear operator A on L -spaces, 1 F p F Ο±, when A is subjected to a perturbation by a bounded p strictly singular operator was discussed in a previous paper by K. Latrach and A. Ε½ .
This paper is devoted to the investigation of the essential approximate point spectrum and the essential defect spectrum of a 2 Γ 2 block operator matrix on a product of Banach spaces. The obtained results are applied to a two-group transport operators with general boundary conditions in the Banach
Under suitable conditions, an equation F(x)=y between Banach spaces involving a nonlinear Fredholm mapping F of nonnegative index is shown to have a noncompact and hence infinite set of solutions for almost every y for which the equation is solvable. The proof of this nonuniqueness (but not existenc
In this paper, we investigate the Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectra of a 2Γ2 block matrix operator defined on a Banach space where entries are unbounded operators between Banach spaces and with domains consisting of vectors satisfying certain relations between