### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 868-880 |

Numero di pagine | 13 |

Rivista | Advances in Operator Theory |

Volume | 3 |

Stato di pubblicazione | Published - 2018 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory
- Analysis

### Cita questo

*Advances in Operator Theory*,

*3*, 868-880.

**Projections and isolated points of parts of the spectrum.** /.

Risultato della ricerca: Article

*Advances in Operator Theory*, vol. 3, pagg. 868-880.

}

TY - JOUR

T1 - Projections and isolated points of parts of the spectrum

AU - Triolo, Salvatore

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Kato decomposition; Localized SVEP; Spectrum; Algebra and Number Theory; Analysis

UR - http://hdl.handle.net/10447/338467

UR - http://aot-math.org/

M3 - Article

VL - 3

SP - 868

EP - 880

JO - Advances in Operator Theory

JF - Advances in Operator Theory

SN - 2538-225X

ER -