Advances in Operator Theory
- Adv. Oper. Theory
- Volume 3, Number 4 (2018), 868-880.
Projections and isolated points of parts of the spectrum
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 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.
Adv. Oper. Theory, Volume 3, Number 4 (2018), 868-880.
Received: 17 April 2018
Accepted: 13 July 2018
First available in Project Euclid: 27 July 2018
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Aiena, Pietro; Triolo, Salvatore. Projections and isolated points of parts of the spectrum. Adv. Oper. Theory 3 (2018), no. 4, 868--880. doi:10.15352/aot.1804-1348. https://projecteuclid.org/euclid.aot/1532656921