# Projections and isolated points of parts of the spectrum

Document Type: Original Article

Authors

Universita di Palermo, Italy

Abstract

In this paper, we relate the existence of certain projections‎, ‎commuting with a bounded linear operator $T\in L(X)$ acting on Banach space $X$‎, ‎with the generalized Kato decomposition GKD of $T$‎. ‎We also relate the existence of these projections with some properties of the quasi-nilpotent part $H_0(T)$ and the analytic core $K(T)$‎. ‎Further results are given for the isolated points of some parts of the spectrum‎.

Keywords

Main Subjects

### Histroty

• Receive Date: 17 April 2018
• Revise Date: 11 July 2018
• Accept Date: 13 July 2018