### Abstract

In this paper, we relate the existence of certain projections, commuting with a bounded linear operator T ∈ 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 H0(T) and the analytic core K(T). Further results are given for the isolated points of some parts of the spectrum.

Lingua originale | English |
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pagine (da-a) | 868-880 |

Numero di pagine | 13 |

Rivista | Advances in Operator Theory |

Volume | 3 |

Stato di pubblicazione | Published - 2018 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory
- Analysis