Abstract
In this paper, we prove the following result by perturbation technique. If q is a quasinilpotent element of a Banach algebra and spectrum of p + q for any other quasinilpotent p contains at most n values then qn = 0. Applications to C* algebras are given.
Original language | English |
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Article number | 1163 |
Journal | Mathematics |
Volume | 8 |
Issue number | 7 |
DOIs | |
Publication status | Published - Jul 2020 |
Keywords
- Finite spectrum
- Perturbation theory
- Quasinilpotent elements
- Socle