On Weighted Weyl Spectrum, Ii

On <i>α</i>-Weyl Operators

“…Arora and P. Dharmarha, beside that observed joint weighted spectrum, introduced α-Weyl operators like α-Fredholm operator with abstract index equal to zero, or like intersection of perturbations with the operators of rank α (for more details see [6]- [11]). Beside that these two definitions of α-Weyl operators are not equivalent, the notion of abstract index is not very applicable, such that we need new ways of generalization of the index of an operator that widen Weyl operator theory in infinite dimensional case.…”