Abstract
The focus of this paper is to extend some stability results of the analysis of perturbed operators on the Banach space to the case of Fredholm perturbation theory in a Banach algebra relative to a bounded homomorphism. Our approach is to define some subsets in a Banach algebra to enrich the theory of perturbed left-right Browder and left-right Weyl elements in a Banach algebra relative to a bounded homomorphism.
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Articles in the same Issue
- Frontmatter
- On left and right Browder elements in Banach algebra relative to a bounded homomorphism
- Uniform excess of g-frames
- On normal partial isometries
- Gauss--Newton--Kurchatov method for the solution of non-linear least-square problems using ω-condition
- Maps preserving the bi-skew Jordan product on factor von Neumann algebras
- Boundary contact problems with regard to friction of couple-stress viscoelasticity for inhomogeneous anisotropic bodies (quasi-static cases)
- On uniform statistical convergence
- Approximate solution of the optimal control problem for non-linear differential inclusion on the semi-axes
- Energy-based localization of positive solutions for stationary Kirchhoff-type equations and systems
- e-reversibility of rings via quasinilpotents
- Weighted generalized Moore–Penrose inverse
- On two extensions of the annihilating-ideal graph of commutative rings
- Umbral treatment and lacunary generating function for Hermite polynomials
- A generalization of the canonical commutation relation and Heisenberg uncertainty principle for the orbital operators
Articles in the same Issue
- Frontmatter
- On left and right Browder elements in Banach algebra relative to a bounded homomorphism
- Uniform excess of g-frames
- On normal partial isometries
- Gauss--Newton--Kurchatov method for the solution of non-linear least-square problems using ω-condition
- Maps preserving the bi-skew Jordan product on factor von Neumann algebras
- Boundary contact problems with regard to friction of couple-stress viscoelasticity for inhomogeneous anisotropic bodies (quasi-static cases)
- On uniform statistical convergence
- Approximate solution of the optimal control problem for non-linear differential inclusion on the semi-axes
- Energy-based localization of positive solutions for stationary Kirchhoff-type equations and systems
- e-reversibility of rings via quasinilpotents
- Weighted generalized Moore–Penrose inverse
- On two extensions of the annihilating-ideal graph of commutative rings
- Umbral treatment and lacunary generating function for Hermite polynomials
- A generalization of the canonical commutation relation and Heisenberg uncertainty principle for the orbital operators